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Finding the Third Proportional to 83,520 and 129,266

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Solution

The third proportional to 83,520 and 129,266 is: 200,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,520 : 129,266 = 129,266 : x
  2. Step 2: Convert to fraction form
    83,520/129,266 = 129,266/x
  3. Step 3: Cross multiply
    83,520x = 129,266 × 129,266
  4. Step 4: Simplify right side
    83,520x = 16,709,698,756
  5. Step 5: Solve for x
    x = 16,709,698,756/83,520
  6. Step 6: Final answer
    x = 200,068.23

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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.