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Finding the Third Proportional to 83,960 and 129,980

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Solution

The third proportional to 83,960 and 129,980 is: 201,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,960 : 129,980 = 129,980 : x
  2. Step 2: Convert to fraction form
    83,960/129,980 = 129,980/x
  3. Step 3: Cross multiply
    83,960x = 129,980 × 129,980
  4. Step 4: Simplify right side
    83,960x = 16,894,800,400
  5. Step 5: Solve for x
    x = 16,894,800,400/83,960
  6. Step 6: Final answer
    x = 201,224.40

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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.