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Finding the Third Proportional to 246.69 and 397.38

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Solution

The third proportional to 246.69 and 397.38 is: 640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.69 : 397.38 = 397.38 : x
  2. Step 2: Convert to fraction form
    246.69/397.38 = 397.38/x
  3. Step 3: Cross multiply
    246.69x = 397.38 × 397.38
  4. Step 4: Simplify right side
    246.69x = 157,906.89
  5. Step 5: Solve for x
    x = 157,906.89/246.69
  6. Step 6: Final answer
    x = 640.11

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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.