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Finding the Third Proportional to 140,238 and 217,560

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Solution

The third proportional to 140,238 and 217,560 is: 337,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,238 : 217,560 = 217,560 : x
  2. Step 2: Convert to fraction form
    140,238/217,560 = 217,560/x
  3. Step 3: Cross multiply
    140,238x = 217,560 × 217,560
  4. Step 4: Simplify right side
    140,238x = 47,332,353,600
  5. Step 5: Solve for x
    x = 47,332,353,600/140,238
  6. Step 6: Final answer
    x = 337,514.47

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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.