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Finding the Third Proportional to 129,256 and 194,019

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Solution

The third proportional to 129,256 and 194,019 is: 291,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,256 : 194,019 = 194,019 : x
  2. Step 2: Convert to fraction form
    129,256/194,019 = 194,019/x
  3. Step 3: Cross multiply
    129,256x = 194,019 × 194,019
  4. Step 4: Simplify right side
    129,256x = 37,643,372,361
  5. Step 5: Solve for x
    x = 37,643,372,361/129,256
  6. Step 6: Final answer
    x = 291,231.14

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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.