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Finding the Third Proportional to 489,355 and 748,659

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Solution

The third proportional to 489,355 and 748,659 is: 1,145,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,355 : 748,659 = 748,659 : x
  2. Step 2: Convert to fraction form
    489,355/748,659 = 748,659/x
  3. Step 3: Cross multiply
    489,355x = 748,659 × 748,659
  4. Step 4: Simplify right side
    489,355x = 560,490,298,281
  5. Step 5: Solve for x
    x = 560,490,298,281/489,355
  6. Step 6: Final answer
    x = 1,145,365.43

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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.