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Finding the Third Proportional to 129,873 and 194,287

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Solution

The third proportional to 129,873 and 194,287 is: 290,648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,873 : 194,287 = 194,287 : x
  2. Step 2: Convert to fraction form
    129,873/194,287 = 194,287/x
  3. Step 3: Cross multiply
    129,873x = 194,287 × 194,287
  4. Step 4: Simplify right side
    129,873x = 37,747,438,369
  5. Step 5: Solve for x
    x = 37,747,438,369/129,873
  6. Step 6: Final answer
    x = 290,648.85

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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.