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Finding the Third Proportional to 169.56 and 371.69

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Solution

The third proportional to 169.56 and 371.69 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 371.69 = 371.69 : x
  2. Step 2: Convert to fraction form
    169.56/371.69 = 371.69/x
  3. Step 3: Cross multiply
    169.56x = 371.69 × 371.69
  4. Step 4: Simplify right side
    169.56x = 138,153.05
  5. Step 5: Solve for x
    x = 138,153.05/169.56
  6. Step 6: Final answer
    x = 814.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.