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Finding the Third Proportional to 129,981.38 and 281,286

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Solution

The third proportional to 129,981.38 and 281,286 is: 608,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,981.38 : 281,286 = 281,286 : x
  2. Step 2: Convert to fraction form
    129,981.38/281,286 = 281,286/x
  3. Step 3: Cross multiply
    129,981.38x = 281,286 × 281,286
  4. Step 4: Simplify right side
    129,981.38x = 79,121,813,796
  5. Step 5: Solve for x
    x = 79,121,813,796/129,981.38
  6. Step 6: Final answer
    x = 608,716.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.