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Finding the Third Proportional to 40,374 and 86,919

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Solution

The third proportional to 40,374 and 86,919 is: 187,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,374 : 86,919 = 86,919 : x
  2. Step 2: Convert to fraction form
    40,374/86,919 = 86,919/x
  3. Step 3: Cross multiply
    40,374x = 86,919 × 86,919
  4. Step 4: Simplify right side
    40,374x = 7,554,912,561
  5. Step 5: Solve for x
    x = 7,554,912,561/40,374
  6. Step 6: Final answer
    x = 187,123.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.