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Finding the Third Proportional to 186 and 280.25

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Solution

The third proportional to 186 and 280.25 is: 422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186 : 280.25 = 280.25 : x
  2. Step 2: Convert to fraction form
    186/280.25 = 280.25/x
  3. Step 3: Cross multiply
    186x = 280.25 × 280.25
  4. Step 4: Simplify right side
    186x = 78,540.06
  5. Step 5: Solve for x
    x = 78,540.06/186
  6. Step 6: Final answer
    x = 422.26

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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.