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Finding the Third Proportional to 272.91 and 415.78

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Solution

The third proportional to 272.91 and 415.78 is: 633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.91 : 415.78 = 415.78 : x
  2. Step 2: Convert to fraction form
    272.91/415.78 = 415.78/x
  3. Step 3: Cross multiply
    272.91x = 415.78 × 415.78
  4. Step 4: Simplify right side
    272.91x = 172,874.05
  5. Step 5: Solve for x
    x = 172,874.05/272.91
  6. Step 6: Final answer
    x = 633.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.