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Finding the Third Proportional to 78,408 and 117,789.19

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Solution

The third proportional to 78,408 and 117,789.19 is: 176,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408 : 117,789.19 = 117,789.19 : x
  2. Step 2: Convert to fraction form
    78,408/117,789.19 = 117,789.19/x
  3. Step 3: Cross multiply
    78,408x = 117,789.19 × 117,789.19
  4. Step 4: Simplify right side
    78,408x = 13,874,292,691.91
  5. Step 5: Solve for x
    x = 13,874,292,691.91/78,408
  6. Step 6: Final answer
    x = 176,949.96

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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.