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Finding the Third Proportional to 133,121.25 and 201,067.88

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Solution

The third proportional to 133,121.25 and 201,067.88 is: 303,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,121.25 : 201,067.88 = 201,067.88 : x
  2. Step 2: Convert to fraction form
    133,121.25/201,067.88 = 201,067.88/x
  3. Step 3: Cross multiply
    133,121.25x = 201,067.88 × 201,067.88
  4. Step 4: Simplify right side
    133,121.25x = 40,428,290,357.02
  5. Step 5: Solve for x
    x = 40,428,290,357.02/133,121.25
  6. Step 6: Final answer
    x = 303,695.24

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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.