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Finding the Third Proportional to 40,910 and 88,744

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Solution

The third proportional to 40,910 and 88,744 is: 192,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,910 : 88,744 = 88,744 : x
  2. Step 2: Convert to fraction form
    40,910/88,744 = 88,744/x
  3. Step 3: Cross multiply
    40,910x = 88,744 × 88,744
  4. Step 4: Simplify right side
    40,910x = 7,875,497,536
  5. Step 5: Solve for x
    x = 7,875,497,536/40,910
  6. Step 6: Final answer
    x = 192,507.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.