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Finding the Third Proportional to 129,860 and 270,112

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Solution

The third proportional to 129,860 and 270,112 is: 561,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,860 : 270,112 = 270,112 : x
  2. Step 2: Convert to fraction form
    129,860/270,112 = 270,112/x
  3. Step 3: Cross multiply
    129,860x = 270,112 × 270,112
  4. Step 4: Simplify right side
    129,860x = 72,960,492,544
  5. Step 5: Solve for x
    x = 72,960,492,544/129,860
  6. Step 6: Final answer
    x = 561,839.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.