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Finding the Third Proportional to 38,731.50 and 82,117.13

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Solution

The third proportional to 38,731.50 and 82,117.13 is: 174,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,731.50 : 82,117.13 = 82,117.13 : x
  2. Step 2: Convert to fraction form
    38,731.50/82,117.13 = 82,117.13/x
  3. Step 3: Cross multiply
    38,731.50x = 82,117.13 × 82,117.13
  4. Step 4: Simplify right side
    38,731.50x = 6,743,222,218.27
  5. Step 5: Solve for x
    x = 6,743,222,218.27/38,731.50
  6. Step 6: Final answer
    x = 174,101.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.