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Finding the Third Proportional to 83,016 and 128,754

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Solution

The third proportional to 83,016 and 128,754 is: 199,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,016 : 128,754 = 128,754 : x
  2. Step 2: Convert to fraction form
    83,016/128,754 = 128,754/x
  3. Step 3: Cross multiply
    83,016x = 128,754 × 128,754
  4. Step 4: Simplify right side
    83,016x = 16,577,592,516
  5. Step 5: Solve for x
    x = 16,577,592,516/83,016
  6. Step 6: Final answer
    x = 199,691.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.