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Finding the Third Proportional to 40,112 and 85,387

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Solution

The third proportional to 40,112 and 85,387 is: 181,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,112 : 85,387 = 85,387 : x
  2. Step 2: Convert to fraction form
    40,112/85,387 = 85,387/x
  3. Step 3: Cross multiply
    40,112x = 85,387 × 85,387
  4. Step 4: Simplify right side
    40,112x = 7,290,939,769
  5. Step 5: Solve for x
    x = 7,290,939,769/40,112
  6. Step 6: Final answer
    x = 181,764.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.