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Finding the Third Proportional to 83,608 and 129,512

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Solution

The third proportional to 83,608 and 129,512 is: 200,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,608 : 129,512 = 129,512 : x
  2. Step 2: Convert to fraction form
    83,608/129,512 = 129,512/x
  3. Step 3: Cross multiply
    83,608x = 129,512 × 129,512
  4. Step 4: Simplify right side
    83,608x = 16,773,358,144
  5. Step 5: Solve for x
    x = 16,773,358,144/83,608
  6. Step 6: Final answer
    x = 200,619.06

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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.