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Finding the Third Proportional to 462,916 and 721,438

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Solution

The third proportional to 462,916 and 721,438 is: 1,124,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,916 : 721,438 = 721,438 : x
  2. Step 2: Convert to fraction form
    462,916/721,438 = 721,438/x
  3. Step 3: Cross multiply
    462,916x = 721,438 × 721,438
  4. Step 4: Simplify right side
    462,916x = 520,472,787,844
  5. Step 5: Solve for x
    x = 520,472,787,844/462,916
  6. Step 6: Final answer
    x = 1,124,335.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.