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Finding the Third Proportional to 270,760.75 and 420,947.75

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Solution

The third proportional to 270,760.75 and 420,947.75 is: 654,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,760.75 : 420,947.75 = 420,947.75 : x
  2. Step 2: Convert to fraction form
    270,760.75/420,947.75 = 420,947.75/x
  3. Step 3: Cross multiply
    270,760.75x = 420,947.75 × 420,947.75
  4. Step 4: Simplify right side
    270,760.75x = 177,197,008,230.06
  5. Step 5: Solve for x
    x = 177,197,008,230.06/270,760.75
  6. Step 6: Final answer
    x = 654,441.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.