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Finding the Third Proportional to 138,378.75 and 293,211.38

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Solution

The third proportional to 138,378.75 and 293,211.38 is: 621,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,378.75 : 293,211.38 = 293,211.38 : x
  2. Step 2: Convert to fraction form
    138,378.75/293,211.38 = 293,211.38/x
  3. Step 3: Cross multiply
    138,378.75x = 293,211.38 × 293,211.38
  4. Step 4: Simplify right side
    138,378.75x = 85,972,910,429.39
  5. Step 5: Solve for x
    x = 85,972,910,429.39/138,378.75
  6. Step 6: Final answer
    x = 621,286.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.