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Finding the Third Proportional to 40,432 and 87,930

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Solution

The third proportional to 40,432 and 87,930 is: 191,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,432 : 87,930 = 87,930 : x
  2. Step 2: Convert to fraction form
    40,432/87,930 = 87,930/x
  3. Step 3: Cross multiply
    40,432x = 87,930 × 87,930
  4. Step 4: Simplify right side
    40,432x = 7,731,684,900
  5. Step 5: Solve for x
    x = 7,731,684,900/40,432
  6. Step 6: Final answer
    x = 191,226.87

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Why These Related Problems?

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