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Finding the Third Proportional to 177.45 and 363.76

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Solution

The third proportional to 177.45 and 363.76 is: 745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.45 : 363.76 = 363.76 : x
  2. Step 2: Convert to fraction form
    177.45/363.76 = 363.76/x
  3. Step 3: Cross multiply
    177.45x = 363.76 × 363.76
  4. Step 4: Simplify right side
    177.45x = 132,323.79
  5. Step 5: Solve for x
    x = 132,323.79/177.45
  6. Step 6: Final answer
    x = 745.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.