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Finding the Third Proportional to 83,952 and 126,736.50

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Solution

The third proportional to 83,952 and 126,736.50 is: 191,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952 : 126,736.50 = 126,736.50 : x
  2. Step 2: Convert to fraction form
    83,952/126,736.50 = 126,736.50/x
  3. Step 3: Cross multiply
    83,952x = 126,736.50 × 126,736.50
  4. Step 4: Simplify right side
    83,952x = 16,062,140,432.25
  5. Step 5: Solve for x
    x = 16,062,140,432.25/83,952
  6. Step 6: Final answer
    x = 191,325.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.