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Finding the Third Proportional to 40,712 and 60,761

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Solution

The third proportional to 40,712 and 60,761 is: 90,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,712 : 60,761 = 60,761 : x
  2. Step 2: Convert to fraction form
    40,712/60,761 = 60,761/x
  3. Step 3: Cross multiply
    40,712x = 60,761 × 60,761
  4. Step 4: Simplify right side
    40,712x = 3,691,899,121
  5. Step 5: Solve for x
    x = 3,691,899,121/40,712
  6. Step 6: Final answer
    x = 90,683.32

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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.