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Finding the Third Proportional to 141,013 and 218,451

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Solution

The third proportional to 141,013 and 218,451 is: 338,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,013 : 218,451 = 218,451 : x
  2. Step 2: Convert to fraction form
    141,013/218,451 = 218,451/x
  3. Step 3: Cross multiply
    141,013x = 218,451 × 218,451
  4. Step 4: Simplify right side
    141,013x = 47,720,839,401
  5. Step 5: Solve for x
    x = 47,720,839,401/141,013
  6. Step 6: Final answer
    x = 338,414.47

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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.