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Finding the Third Proportional to 217,932 and 338,850

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Solution

The third proportional to 217,932 and 338,850 is: 526,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,932 : 338,850 = 338,850 : x
  2. Step 2: Convert to fraction form
    217,932/338,850 = 338,850/x
  3. Step 3: Cross multiply
    217,932x = 338,850 × 338,850
  4. Step 4: Simplify right side
    217,932x = 114,819,322,500
  5. Step 5: Solve for x
    x = 114,819,322,500/217,932
  6. Step 6: Final answer
    x = 526,858.48

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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.