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Finding the Third Proportional to 123,240.75 and 198,414.38

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Solution

The third proportional to 123,240.75 and 198,414.38 is: 319,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,240.75 : 198,414.38 = 198,414.38 : x
  2. Step 2: Convert to fraction form
    123,240.75/198,414.38 = 198,414.38/x
  3. Step 3: Cross multiply
    123,240.75x = 198,414.38 × 198,414.38
  4. Step 4: Simplify right side
    123,240.75x = 39,368,264,206.64
  5. Step 5: Solve for x
    x = 39,368,264,206.64/123,240.75
  6. Step 6: Final answer
    x = 319,441.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.