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Finding the Third Proportional to 486,776 and 726,114

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Solution

The third proportional to 486,776 and 726,114 is: 1,083,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,776 : 726,114 = 726,114 : x
  2. Step 2: Convert to fraction form
    486,776/726,114 = 726,114/x
  3. Step 3: Cross multiply
    486,776x = 726,114 × 726,114
  4. Step 4: Simplify right side
    486,776x = 527,241,540,996
  5. Step 5: Solve for x
    x = 527,241,540,996/486,776
  6. Step 6: Final answer
    x = 1,083,129.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.