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Finding the Third Proportional to 247.78 and 353.91

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Solution

The third proportional to 247.78 and 353.91 is: 505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.78 : 353.91 = 353.91 : x
  2. Step 2: Convert to fraction form
    247.78/353.91 = 353.91/x
  3. Step 3: Cross multiply
    247.78x = 353.91 × 353.91
  4. Step 4: Simplify right side
    247.78x = 125,249.63
  5. Step 5: Solve for x
    x = 125,249.63/247.78
  6. Step 6: Final answer
    x = 505.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.