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Finding the Third Proportional to 489,644 and 748,957

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Solution

The third proportional to 489,644 and 748,957 is: 1,145,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,644 : 748,957 = 748,957 : x
  2. Step 2: Convert to fraction form
    489,644/748,957 = 748,957/x
  3. Step 3: Cross multiply
    489,644x = 748,957 × 748,957
  4. Step 4: Simplify right side
    489,644x = 560,936,587,849
  5. Step 5: Solve for x
    x = 560,936,587,849/489,644
  6. Step 6: Final answer
    x = 1,145,600.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.