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Finding the Third Proportional to 40,443 and 87,021

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Solution

The third proportional to 40,443 and 87,021 is: 187,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,443 : 87,021 = 87,021 : x
  2. Step 2: Convert to fraction form
    40,443/87,021 = 87,021/x
  3. Step 3: Cross multiply
    40,443x = 87,021 × 87,021
  4. Step 4: Simplify right side
    40,443x = 7,572,654,441
  5. Step 5: Solve for x
    x = 7,572,654,441/40,443
  6. Step 6: Final answer
    x = 187,242.65

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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.