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Finding the Third Proportional to 217,934 and 338,853

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Solution

The third proportional to 217,934 and 338,853 is: 526,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,934 : 338,853 = 338,853 : x
  2. Step 2: Convert to fraction form
    217,934/338,853 = 338,853/x
  3. Step 3: Cross multiply
    217,934x = 338,853 × 338,853
  4. Step 4: Simplify right side
    217,934x = 114,821,355,609
  5. Step 5: Solve for x
    x = 114,821,355,609/217,934
  6. Step 6: Final answer
    x = 526,862.98

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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.