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Finding the Third Proportional to 177.31 and 266.19

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Solution

The third proportional to 177.31 and 266.19 is: 399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.31 : 266.19 = 266.19 : x
  2. Step 2: Convert to fraction form
    177.31/266.19 = 266.19/x
  3. Step 3: Cross multiply
    177.31x = 266.19 × 266.19
  4. Step 4: Simplify right side
    177.31x = 70,855.79
  5. Step 5: Solve for x
    x = 70,855.79/177.31
  6. Step 6: Final answer
    x = 399.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.