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Finding the Third Proportional to 135,548 and 209,696

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Solution

The third proportional to 135,548 and 209,696 is: 324,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,548 : 209,696 = 209,696 : x
  2. Step 2: Convert to fraction form
    135,548/209,696 = 209,696/x
  3. Step 3: Cross multiply
    135,548x = 209,696 × 209,696
  4. Step 4: Simplify right side
    135,548x = 43,972,412,416
  5. Step 5: Solve for x
    x = 43,972,412,416/135,548
  6. Step 6: Final answer
    x = 324,404.73

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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.