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Finding the Third Proportional to 279.84 and 517.92

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Solution

The third proportional to 279.84 and 517.92 is: 958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 517.92 = 517.92 : x
  2. Step 2: Convert to fraction form
    279.84/517.92 = 517.92/x
  3. Step 3: Cross multiply
    279.84x = 517.92 × 517.92
  4. Step 4: Simplify right side
    279.84x = 268,243.07
  5. Step 5: Solve for x
    x = 268,243.07/279.84
  6. Step 6: Final answer
    x = 958.55

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.