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Finding the Third Proportional to 177.47 and 270.28

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Solution

The third proportional to 177.47 and 270.28 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.47 : 270.28 = 270.28 : x
  2. Step 2: Convert to fraction form
    177.47/270.28 = 270.28/x
  3. Step 3: Cross multiply
    177.47x = 270.28 × 270.28
  4. Step 4: Simplify right side
    177.47x = 73,051.95
  5. Step 5: Solve for x
    x = 73,051.95/177.47
  6. Step 6: Final answer
    x = 411.63

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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.