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Finding the Third Proportional to 242,130,853,360 and 520,194,704,790

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Solution

The third proportional to 242,130,853,360 and 520,194,704,790 is: 1,117,587,978,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,130,853,360 : 520,194,704,790 = 520,194,704,790 : x
  2. Step 2: Convert to fraction form
    242,130,853,360/520,194,704,790 = 520,194,704,790/x
  3. Step 3: Cross multiply
    242,130,853,360x = 520,194,704,790 × 520,194,704,790
  4. Step 4: Simplify right side
    242,130,853,360x = 270,602,530,891,555,235,954,688
  5. Step 5: Solve for x
    x = 270,602,530,891,555,235,954,688/242,130,853,360
  6. Step 6: Final answer
    x = 1,117,587,978,303.71

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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.