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Finding the Third Proportional to 129,255.38 and 194,019.75

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Solution

The third proportional to 129,255.38 and 194,019.75 is: 291,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,255.38 : 194,019.75 = 194,019.75 : x
  2. Step 2: Convert to fraction form
    129,255.38/194,019.75 = 194,019.75/x
  3. Step 3: Cross multiply
    129,255.38x = 194,019.75 × 194,019.75
  4. Step 4: Simplify right side
    129,255.38x = 37,643,663,390.06
  5. Step 5: Solve for x
    x = 37,643,663,390.06/129,255.38
  6. Step 6: Final answer
    x = 291,234.80

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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.