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Finding the Third Proportional to 246.56 and 397.19

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Solution

The third proportional to 246.56 and 397.19 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.56 : 397.19 = 397.19 : x
  2. Step 2: Convert to fraction form
    246.56/397.19 = 397.19/x
  3. Step 3: Cross multiply
    246.56x = 397.19 × 397.19
  4. Step 4: Simplify right side
    246.56x = 157,757.91
  5. Step 5: Solve for x
    x = 157,757.91/246.56
  6. Step 6: Final answer
    x = 639.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.