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Finding the Third Proportional to 217,778 and 327,934

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Solution

The third proportional to 217,778 and 327,934 is: 493,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,778 : 327,934 = 327,934 : x
  2. Step 2: Convert to fraction form
    217,778/327,934 = 327,934/x
  3. Step 3: Cross multiply
    217,778x = 327,934 × 327,934
  4. Step 4: Simplify right side
    217,778x = 107,540,708,356
  5. Step 5: Solve for x
    x = 107,540,708,356/217,778
  6. Step 6: Final answer
    x = 493,808.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.