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Finding the Third Proportional to 18,531.14 and 39,876.47

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Solution

The third proportional to 18,531.14 and 39,876.47 is: 85,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,531.14 : 39,876.47 = 39,876.47 : x
  2. Step 2: Convert to fraction form
    18,531.14/39,876.47 = 39,876.47/x
  3. Step 3: Cross multiply
    18,531.14x = 39,876.47 × 39,876.47
  4. Step 4: Simplify right side
    18,531.14x = 1,590,132,759.97
  5. Step 5: Solve for x
    x = 1,590,132,759.97/18,531.14
  6. Step 6: Final answer
    x = 85,808.68

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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.