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Finding the Third Proportional to 420,948 and 748,398

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Solution

The third proportional to 420,948 and 748,398 is: 1,330,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,948 : 748,398 = 748,398 : x
  2. Step 2: Convert to fraction form
    420,948/748,398 = 748,398/x
  3. Step 3: Cross multiply
    420,948x = 748,398 × 748,398
  4. Step 4: Simplify right side
    420,948x = 560,099,566,404
  5. Step 5: Solve for x
    x = 560,099,566,404/420,948
  6. Step 6: Final answer
    x = 1,330,567.12

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.