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Finding the Third Proportional to 177.88 and 270.47

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Solution

The third proportional to 177.88 and 270.47 is: 411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.88 : 270.47 = 270.47 : x
  2. Step 2: Convert to fraction form
    177.88/270.47 = 270.47/x
  3. Step 3: Cross multiply
    177.88x = 270.47 × 270.47
  4. Step 4: Simplify right side
    177.88x = 73,153.34
  5. Step 5: Solve for x
    x = 73,153.34/177.88
  6. Step 6: Final answer
    x = 411.26

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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.