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Finding the Third Proportional to 219,897 and 329,269

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Solution

The third proportional to 219,897 and 329,269 is: 493,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,897 : 329,269 = 329,269 : x
  2. Step 2: Convert to fraction form
    219,897/329,269 = 329,269/x
  3. Step 3: Cross multiply
    219,897x = 329,269 × 329,269
  4. Step 4: Simplify right side
    219,897x = 108,418,074,361
  5. Step 5: Solve for x
    x = 108,418,074,361/219,897
  6. Step 6: Final answer
    x = 493,040.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.