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Finding the Third Proportional to 177.88 and 266.94

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Solution

The third proportional to 177.88 and 266.94 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.88 : 266.94 = 266.94 : x
  2. Step 2: Convert to fraction form
    177.88/266.94 = 266.94/x
  3. Step 3: Cross multiply
    177.88x = 266.94 × 266.94
  4. Step 4: Simplify right side
    177.88x = 71,255.63
  5. Step 5: Solve for x
    x = 71,255.63/177.88
  6. Step 6: Final answer
    x = 400.59

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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.