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Finding the Third Proportional to 156.38 and 316.97

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Solution

The third proportional to 156.38 and 316.97 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.38 : 316.97 = 316.97 : x
  2. Step 2: Convert to fraction form
    156.38/316.97 = 316.97/x
  3. Step 3: Cross multiply
    156.38x = 316.97 × 316.97
  4. Step 4: Simplify right side
    156.38x = 100,469.19
  5. Step 5: Solve for x
    x = 100,469.19/156.38
  6. Step 6: Final answer
    x = 642.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.