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Finding the Third Proportional to 138,039.19 and 208,273.78

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Solution

The third proportional to 138,039.19 and 208,273.78 is: 314,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,039.19 : 208,273.78 = 208,273.78 : x
  2. Step 2: Convert to fraction form
    138,039.19/208,273.78 = 208,273.78/x
  3. Step 3: Cross multiply
    138,039.19x = 208,273.78 × 208,273.78
  4. Step 4: Simplify right side
    138,039.19x = 43,377,967,956.17
  5. Step 5: Solve for x
    x = 43,377,967,956.17/138,039.19
  6. Step 6: Final answer
    x = 314,243.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.