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Finding the Third Proportional to 105.72 and 249.08

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Solution

The third proportional to 105.72 and 249.08 is: 586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.72 : 249.08 = 249.08 : x
  2. Step 2: Convert to fraction form
    105.72/249.08 = 249.08/x
  3. Step 3: Cross multiply
    105.72x = 249.08 × 249.08
  4. Step 4: Simplify right side
    105.72x = 62,041.31
  5. Step 5: Solve for x
    x = 62,041.31/105.72
  6. Step 6: Final answer
    x = 586.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.