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Finding the Third Proportional to 83,991 and 127,320

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Solution

The third proportional to 83,991 and 127,320 is: 193,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,991 : 127,320 = 127,320 : x
  2. Step 2: Convert to fraction form
    83,991/127,320 = 127,320/x
  3. Step 3: Cross multiply
    83,991x = 127,320 × 127,320
  4. Step 4: Simplify right side
    83,991x = 16,210,382,400
  5. Step 5: Solve for x
    x = 16,210,382,400/83,991
  6. Step 6: Final answer
    x = 193,001.42

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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.