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Finding the Third Proportional to 249.19 and 279.56

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Solution

The third proportional to 249.19 and 279.56 is: 313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.19 : 279.56 = 279.56 : x
  2. Step 2: Convert to fraction form
    249.19/279.56 = 279.56/x
  3. Step 3: Cross multiply
    249.19x = 279.56 × 279.56
  4. Step 4: Simplify right side
    249.19x = 78,155.19
  5. Step 5: Solve for x
    x = 78,155.19/249.19
  6. Step 6: Final answer
    x = 313.64

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.