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Finding the Third Proportional to 177.27 and 275.51

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Solution

The third proportional to 177.27 and 275.51 is: 428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.27 : 275.51 = 275.51 : x
  2. Step 2: Convert to fraction form
    177.27/275.51 = 275.51/x
  3. Step 3: Cross multiply
    177.27x = 275.51 × 275.51
  4. Step 4: Simplify right side
    177.27x = 75,906.17
  5. Step 5: Solve for x
    x = 75,906.17/177.27
  6. Step 6: Final answer
    x = 428.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.