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Finding the Third Proportional to 95,100 and 132,960

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Solution

The third proportional to 95,100 and 132,960 is: 185,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,100 : 132,960 = 132,960 : x
  2. Step 2: Convert to fraction form
    95,100/132,960 = 132,960/x
  3. Step 3: Cross multiply
    95,100x = 132,960 × 132,960
  4. Step 4: Simplify right side
    95,100x = 17,678,361,600
  5. Step 5: Solve for x
    x = 17,678,361,600/95,100
  6. Step 6: Final answer
    x = 185,892.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.