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Finding the Third Proportional to 75,691 and 117,199

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Solution

The third proportional to 75,691 and 117,199 is: 181,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,691 : 117,199 = 117,199 : x
  2. Step 2: Convert to fraction form
    75,691/117,199 = 117,199/x
  3. Step 3: Cross multiply
    75,691x = 117,199 × 117,199
  4. Step 4: Simplify right side
    75,691x = 13,735,605,601
  5. Step 5: Solve for x
    x = 13,735,605,601/75,691
  6. Step 6: Final answer
    x = 181,469.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.