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Finding the Third Proportional to 40,712 and 60,978

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Solution

The third proportional to 40,712 and 60,978 is: 91,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,712 : 60,978 = 60,978 : x
  2. Step 2: Convert to fraction form
    40,712/60,978 = 60,978/x
  3. Step 3: Cross multiply
    40,712x = 60,978 × 60,978
  4. Step 4: Simplify right side
    40,712x = 3,718,316,484
  5. Step 5: Solve for x
    x = 3,718,316,484/40,712
  6. Step 6: Final answer
    x = 91,332.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.