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Finding the Third Proportional to 38,869.13 and 71,898

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Solution

The third proportional to 38,869.13 and 71,898 is: 132,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,869.13 : 71,898 = 71,898 : x
  2. Step 2: Convert to fraction form
    38,869.13/71,898 = 71,898/x
  3. Step 3: Cross multiply
    38,869.13x = 71,898 × 71,898
  4. Step 4: Simplify right side
    38,869.13x = 5,169,322,404
  5. Step 5: Solve for x
    x = 5,169,322,404/38,869.13
  6. Step 6: Final answer
    x = 132,993.02

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.