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Finding the Third Proportional to 161.92 and 256.41

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Solution

The third proportional to 161.92 and 256.41 is: 406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.92 : 256.41 = 256.41 : x
  2. Step 2: Convert to fraction form
    161.92/256.41 = 256.41/x
  3. Step 3: Cross multiply
    161.92x = 256.41 × 256.41
  4. Step 4: Simplify right side
    161.92x = 65,744.92
  5. Step 5: Solve for x
    x = 65,744.92/161.92
  6. Step 6: Final answer
    x = 406.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.