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Finding the Third Proportional to 133,836.75 and 199,101.38

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Solution

The third proportional to 133,836.75 and 199,101.38 is: 296,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,836.75 : 199,101.38 = 199,101.38 : x
  2. Step 2: Convert to fraction form
    133,836.75/199,101.38 = 199,101.38/x
  3. Step 3: Cross multiply
    133,836.75x = 199,101.38 × 199,101.38
  4. Step 4: Simplify right side
    133,836.75x = 39,641,357,526.89
  5. Step 5: Solve for x
    x = 39,641,357,526.89/133,836.75
  6. Step 6: Final answer
    x = 296,191.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.