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Finding the Third Proportional to 71.55 and 169.26

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Solution

The third proportional to 71.55 and 169.26 is: 400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.55 : 169.26 = 169.26 : x
  2. Step 2: Convert to fraction form
    71.55/169.26 = 169.26/x
  3. Step 3: Cross multiply
    71.55x = 169.26 × 169.26
  4. Step 4: Simplify right side
    71.55x = 28,648.12
  5. Step 5: Solve for x
    x = 28,648.12/71.55
  6. Step 6: Final answer
    x = 400.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.