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Finding the Third Proportional to 174.87 and 266.52

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Solution

The third proportional to 174.87 and 266.52 is: 406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.87 : 266.52 = 266.52 : x
  2. Step 2: Convert to fraction form
    174.87/266.52 = 266.52/x
  3. Step 3: Cross multiply
    174.87x = 266.52 × 266.52
  4. Step 4: Simplify right side
    174.87x = 71,032.66
  5. Step 5: Solve for x
    x = 71,032.66/174.87
  6. Step 6: Final answer
    x = 406.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.