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Finding the Third Proportional to 138,436.50 and 203,765.25

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Solution

The third proportional to 138,436.50 and 203,765.25 is: 299,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,436.50 : 203,765.25 = 203,765.25 : x
  2. Step 2: Convert to fraction form
    138,436.50/203,765.25 = 203,765.25/x
  3. Step 3: Cross multiply
    138,436.50x = 203,765.25 × 203,765.25
  4. Step 4: Simplify right side
    138,436.50x = 41,520,277,107.56
  5. Step 5: Solve for x
    x = 41,520,277,107.56/138,436.50
  6. Step 6: Final answer
    x = 299,922.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.