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Finding the Third Proportional to 138,187.88 and 207,241.31

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Solution

The third proportional to 138,187.88 and 207,241.31 is: 310,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,187.88 : 207,241.31 = 207,241.31 : x
  2. Step 2: Convert to fraction form
    138,187.88/207,241.31 = 207,241.31/x
  3. Step 3: Cross multiply
    138,187.88x = 207,241.31 × 207,241.31
  4. Step 4: Simplify right side
    138,187.88x = 42,948,961,606.72
  5. Step 5: Solve for x
    x = 42,948,961,606.72/138,187.88
  6. Step 6: Final answer
    x = 310,801.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.