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Finding the Third Proportional to 83,042 and 128,643

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Solution

The third proportional to 83,042 and 128,643 is: 199,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042 : 128,643 = 128,643 : x
  2. Step 2: Convert to fraction form
    83,042/128,643 = 128,643/x
  3. Step 3: Cross multiply
    83,042x = 128,643 × 128,643
  4. Step 4: Simplify right side
    83,042x = 16,549,021,449
  5. Step 5: Solve for x
    x = 16,549,021,449/83,042
  6. Step 6: Final answer
    x = 199,284.96

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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.