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Finding the Third Proportional to 90,532 and 132,558

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Solution

The third proportional to 90,532 and 132,558 is: 194,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,532 : 132,558 = 132,558 : x
  2. Step 2: Convert to fraction form
    90,532/132,558 = 132,558/x
  3. Step 3: Cross multiply
    90,532x = 132,558 × 132,558
  4. Step 4: Simplify right side
    90,532x = 17,571,623,364
  5. Step 5: Solve for x
    x = 17,571,623,364/90,532
  6. Step 6: Final answer
    x = 194,092.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.