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Finding the Third Proportional to 92,448 and 132,102

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Solution

The third proportional to 92,448 and 132,102 is: 188,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,448 : 132,102 = 132,102 : x
  2. Step 2: Convert to fraction form
    92,448/132,102 = 132,102/x
  3. Step 3: Cross multiply
    92,448x = 132,102 × 132,102
  4. Step 4: Simplify right side
    92,448x = 17,450,938,404
  5. Step 5: Solve for x
    x = 17,450,938,404/92,448
  6. Step 6: Final answer
    x = 188,764.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.