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Finding the Third Proportional to 222,602 and 344,897

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Solution

The third proportional to 222,602 and 344,897 is: 534,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,602 : 344,897 = 344,897 : x
  2. Step 2: Convert to fraction form
    222,602/344,897 = 344,897/x
  3. Step 3: Cross multiply
    222,602x = 344,897 × 344,897
  4. Step 4: Simplify right side
    222,602x = 118,953,940,609
  5. Step 5: Solve for x
    x = 118,953,940,609/222,602
  6. Step 6: Final answer
    x = 534,379.48

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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.