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Finding the Third Proportional to 279.88 and 415.44

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Solution

The third proportional to 279.88 and 415.44 is: 616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 415.44 = 415.44 : x
  2. Step 2: Convert to fraction form
    279.88/415.44 = 415.44/x
  3. Step 3: Cross multiply
    279.88x = 415.44 × 415.44
  4. Step 4: Simplify right side
    279.88x = 172,588.32
  5. Step 5: Solve for x
    x = 172,588.32/279.88
  6. Step 6: Final answer
    x = 616.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.