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Finding the Third Proportional to 78,342 and 117,687

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Solution

The third proportional to 78,342 and 117,687 is: 176,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342 : 117,687 = 117,687 : x
  2. Step 2: Convert to fraction form
    78,342/117,687 = 117,687/x
  3. Step 3: Cross multiply
    78,342x = 117,687 × 117,687
  4. Step 4: Simplify right side
    78,342x = 13,850,229,969
  5. Step 5: Solve for x
    x = 13,850,229,969/78,342
  6. Step 6: Final answer
    x = 176,791.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.