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Finding the Third Proportional to 219,540 and 338,922

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Solution

The third proportional to 219,540 and 338,922 is: 523,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,540 : 338,922 = 338,922 : x
  2. Step 2: Convert to fraction form
    219,540/338,922 = 338,922/x
  3. Step 3: Cross multiply
    219,540x = 338,922 × 338,922
  4. Step 4: Simplify right side
    219,540x = 114,868,122,084
  5. Step 5: Solve for x
    x = 114,868,122,084/219,540
  6. Step 6: Final answer
    x = 523,221.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.