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Finding the Third Proportional to 420,113 and 645,744

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Solution

The third proportional to 420,113 and 645,744 is: 992,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,113 : 645,744 = 645,744 : x
  2. Step 2: Convert to fraction form
    420,113/645,744 = 645,744/x
  3. Step 3: Cross multiply
    420,113x = 645,744 × 645,744
  4. Step 4: Simplify right side
    420,113x = 416,985,313,536
  5. Step 5: Solve for x
    x = 416,985,313,536/420,113
  6. Step 6: Final answer
    x = 992,555.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.