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Finding the Third Proportional to 161.00 and 249.80

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Solution

The third proportional to 161.00 and 249.80 is: 387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.00 : 249.80 = 249.80 : x
  2. Step 2: Convert to fraction form
    161.00/249.80 = 249.80/x
  3. Step 3: Cross multiply
    161.00x = 249.80 × 249.80
  4. Step 4: Simplify right side
    161.00x = 62,401.41
  5. Step 5: Solve for x
    x = 62,401.41/161.00
  6. Step 6: Final answer
    x = 387.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.