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Finding the Third Proportional to 179.62 and 386.75

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Solution

The third proportional to 179.62 and 386.75 is: 832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.62 : 386.75 = 386.75 : x
  2. Step 2: Convert to fraction form
    179.62/386.75 = 386.75/x
  3. Step 3: Cross multiply
    179.62x = 386.75 × 386.75
  4. Step 4: Simplify right side
    179.62x = 149,577.79
  5. Step 5: Solve for x
    x = 149,577.79/179.62
  6. Step 6: Final answer
    x = 832.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.