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Finding the Third Proportional to 138,908.25 and 211,359.38

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Solution

The third proportional to 138,908.25 and 211,359.38 is: 321,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908.25 : 211,359.38 = 211,359.38 : x
  2. Step 2: Convert to fraction form
    138,908.25/211,359.38 = 211,359.38/x
  3. Step 3: Cross multiply
    138,908.25x = 211,359.38 × 211,359.38
  4. Step 4: Simplify right side
    138,908.25x = 44,672,785,400.39
  5. Step 5: Solve for x
    x = 44,672,785,400.39/138,908.25
  6. Step 6: Final answer
    x = 321,599.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.