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Finding the Third Proportional to 279.84 and 391.46

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Solution

The third proportional to 279.84 and 391.46 is: 547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 391.46 = 391.46 : x
  2. Step 2: Convert to fraction form
    279.84/391.46 = 391.46/x
  3. Step 3: Cross multiply
    279.84x = 391.46 × 391.46
  4. Step 4: Simplify right side
    279.84x = 153,244.72
  5. Step 5: Solve for x
    x = 153,244.72/279.84
  6. Step 6: Final answer
    x = 547.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.