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Finding the Third Proportional to 179.40 and 286.19

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Solution

The third proportional to 179.40 and 286.19 is: 456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 286.19 = 286.19 : x
  2. Step 2: Convert to fraction form
    179.40/286.19 = 286.19/x
  3. Step 3: Cross multiply
    179.40x = 286.19 × 286.19
  4. Step 4: Simplify right side
    179.40x = 81,904.40
  5. Step 5: Solve for x
    x = 81,904.40/179.40
  6. Step 6: Final answer
    x = 456.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.