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Finding the Third Proportional to 138,395.25 and 176,843.25

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Solution

The third proportional to 138,395.25 and 176,843.25 is: 225,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,395.25 : 176,843.25 = 176,843.25 : x
  2. Step 2: Convert to fraction form
    138,395.25/176,843.25 = 176,843.25/x
  3. Step 3: Cross multiply
    138,395.25x = 176,843.25 × 176,843.25
  4. Step 4: Simplify right side
    138,395.25x = 31,273,535,070.56
  5. Step 5: Solve for x
    x = 31,273,535,070.56/138,395.25
  6. Step 6: Final answer
    x = 225,972.60

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.