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Finding the Third Proportional to 186.19 and 280.69

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Solution

The third proportional to 186.19 and 280.69 is: 423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.19 : 280.69 = 280.69 : x
  2. Step 2: Convert to fraction form
    186.19/280.69 = 280.69/x
  3. Step 3: Cross multiply
    186.19x = 280.69 × 280.69
  4. Step 4: Simplify right side
    186.19x = 78,785.47
  5. Step 5: Solve for x
    x = 78,785.47/186.19
  6. Step 6: Final answer
    x = 423.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.