Home / 242,130,853,357.59-520,194,704,786.20

Finding the Third Proportional to 242,130,853,357.59 and 520,194,704,786.20

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Solution

The third proportional to 242,130,853,357.59 and 520,194,704,786.20 is: 1,117,587,978,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,130,853,357.59 : 520,194,704,786.20 = 520,194,704,786.20 : x
  2. Step 2: Convert to fraction form
    242,130,853,357.59/520,194,704,786.20 = 520,194,704,786.20/x
  3. Step 3: Cross multiply
    242,130,853,357.59x = 520,194,704,786.20 × 520,194,704,786.20
  4. Step 4: Simplify right side
    242,130,853,357.59x = 270,602,530,887,601,785,667,584
  5. Step 5: Solve for x
    x = 270,602,530,887,601,785,667,584/242,130,853,357.59
  6. Step 6: Final answer
    x = 1,117,587,978,298.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.