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Finding the Third Proportional to 151,165 and 218,519

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Solution

The third proportional to 151,165 and 218,519 is: 315,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,165 : 218,519 = 218,519 : x
  2. Step 2: Convert to fraction form
    151,165/218,519 = 218,519/x
  3. Step 3: Cross multiply
    151,165x = 218,519 × 218,519
  4. Step 4: Simplify right side
    151,165x = 47,750,553,361
  5. Step 5: Solve for x
    x = 47,750,553,361/151,165
  6. Step 6: Final answer
    x = 315,883.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.