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Finding the Third Proportional to 138,553.50 and 223,129.50

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Solution

The third proportional to 138,553.50 and 223,129.50 is: 359,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,553.50 : 223,129.50 = 223,129.50 : x
  2. Step 2: Convert to fraction form
    138,553.50/223,129.50 = 223,129.50/x
  3. Step 3: Cross multiply
    138,553.50x = 223,129.50 × 223,129.50
  4. Step 4: Simplify right side
    138,553.50x = 49,786,773,770.25
  5. Step 5: Solve for x
    x = 49,786,773,770.25/138,553.50
  6. Step 6: Final answer
    x = 359,332.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.