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Finding the Third Proportional to 83,432 and 127,212

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Solution

The third proportional to 83,432 and 127,212 is: 193,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,432 : 127,212 = 127,212 : x
  2. Step 2: Convert to fraction form
    83,432/127,212 = 127,212/x
  3. Step 3: Cross multiply
    83,432x = 127,212 × 127,212
  4. Step 4: Simplify right side
    83,432x = 16,182,892,944
  5. Step 5: Solve for x
    x = 16,182,892,944/83,432
  6. Step 6: Final answer
    x = 193,965.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.