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Finding the Third Proportional to 221,005 and 339,897

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Solution

The third proportional to 221,005 and 339,897 is: 522,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,005 : 339,897 = 339,897 : x
  2. Step 2: Convert to fraction form
    221,005/339,897 = 339,897/x
  3. Step 3: Cross multiply
    221,005x = 339,897 × 339,897
  4. Step 4: Simplify right side
    221,005x = 115,529,970,609
  5. Step 5: Solve for x
    x = 115,529,970,609/221,005
  6. Step 6: Final answer
    x = 522,748.22

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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.