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Finding the Third Proportional to 179.81 and 240.40

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Solution

The third proportional to 179.81 and 240.40 is: 321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.81 : 240.40 = 240.40 : x
  2. Step 2: Convert to fraction form
    179.81/240.40 = 240.40/x
  3. Step 3: Cross multiply
    179.81x = 240.40 × 240.40
  4. Step 4: Simplify right side
    179.81x = 57,791.41
  5. Step 5: Solve for x
    x = 57,791.41/179.81
  6. Step 6: Final answer
    x = 321.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.