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Finding the Third Proportional to 177.27 and 266.97

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Solution

The third proportional to 177.27 and 266.97 is: 402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.27 : 266.97 = 266.97 : x
  2. Step 2: Convert to fraction form
    177.27/266.97 = 266.97/x
  3. Step 3: Cross multiply
    177.27x = 266.97 × 266.97
  4. Step 4: Simplify right side
    177.27x = 71,271.79
  5. Step 5: Solve for x
    x = 71,271.79/177.27
  6. Step 6: Final answer
    x = 402.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.