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Finding the Third Proportional to 40,409 and 87,939

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Solution

The third proportional to 40,409 and 87,939 is: 191,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,409 : 87,939 = 87,939 : x
  2. Step 2: Convert to fraction form
    40,409/87,939 = 87,939/x
  3. Step 3: Cross multiply
    40,409x = 87,939 × 87,939
  4. Step 4: Simplify right side
    40,409x = 7,733,267,721
  5. Step 5: Solve for x
    x = 7,733,267,721/40,409
  6. Step 6: Final answer
    x = 191,374.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.