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Finding the Third Proportional to 83,518 and 129,263

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Solution

The third proportional to 83,518 and 129,263 is: 200,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,518 : 129,263 = 129,263 : x
  2. Step 2: Convert to fraction form
    83,518/129,263 = 129,263/x
  3. Step 3: Cross multiply
    83,518x = 129,263 × 129,263
  4. Step 4: Simplify right side
    83,518x = 16,708,923,169
  5. Step 5: Solve for x
    x = 16,708,923,169/83,518
  6. Step 6: Final answer
    x = 200,063.74

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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.