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Finding the Third Proportional to 140,049 and 217,215

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Solution

The third proportional to 140,049 and 217,215 is: 336,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,049 : 217,215 = 217,215 : x
  2. Step 2: Convert to fraction form
    140,049/217,215 = 217,215/x
  3. Step 3: Cross multiply
    140,049x = 217,215 × 217,215
  4. Step 4: Simplify right side
    140,049x = 47,182,356,225
  5. Step 5: Solve for x
    x = 47,182,356,225/140,049
  6. Step 6: Final answer
    x = 336,898.92

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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.