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Finding the Third Proportional to 138,609 and 220,353

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Solution

The third proportional to 138,609 and 220,353 is: 350,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,609 : 220,353 = 220,353 : x
  2. Step 2: Convert to fraction form
    138,609/220,353 = 220,353/x
  3. Step 3: Cross multiply
    138,609x = 220,353 × 220,353
  4. Step 4: Simplify right side
    138,609x = 48,555,444,609
  5. Step 5: Solve for x
    x = 48,555,444,609/138,609
  6. Step 6: Final answer
    x = 350,305.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.