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Finding the Third Proportional to 160.84 and 249.84

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Solution

The third proportional to 160.84 and 249.84 is: 388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 249.84 = 249.84 : x
  2. Step 2: Convert to fraction form
    160.84/249.84 = 249.84/x
  3. Step 3: Cross multiply
    160.84x = 249.84 × 249.84
  4. Step 4: Simplify right side
    160.84x = 62,421.90
  5. Step 5: Solve for x
    x = 62,421.90/160.84
  6. Step 6: Final answer
    x = 388.09

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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.