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Finding the Third Proportional to 131,707 and 209,225

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Solution

The third proportional to 131,707 and 209,225 is: 332,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,707 : 209,225 = 209,225 : x
  2. Step 2: Convert to fraction form
    131,707/209,225 = 209,225/x
  3. Step 3: Cross multiply
    131,707x = 209,225 × 209,225
  4. Step 4: Simplify right side
    131,707x = 43,775,100,625
  5. Step 5: Solve for x
    x = 43,775,100,625/131,707
  6. Step 6: Final answer
    x = 332,367.30

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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.