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Finding the Third Proportional to 83,019 and 129,712.50

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Solution

The third proportional to 83,019 and 129,712.50 is: 202,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,019 : 129,712.50 = 129,712.50 : x
  2. Step 2: Convert to fraction form
    83,019/129,712.50 = 129,712.50/x
  3. Step 3: Cross multiply
    83,019x = 129,712.50 × 129,712.50
  4. Step 4: Simplify right side
    83,019x = 16,825,332,656.25
  5. Step 5: Solve for x
    x = 16,825,332,656.25/83,019
  6. Step 6: Final answer
    x = 202,668.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.