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Finding the Third Proportional to 186.96 and 281.64

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Solution

The third proportional to 186.96 and 281.64 is: 424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.96 : 281.64 = 281.64 : x
  2. Step 2: Convert to fraction form
    186.96/281.64 = 281.64/x
  3. Step 3: Cross multiply
    186.96x = 281.64 × 281.64
  4. Step 4: Simplify right side
    186.96x = 79,319.24
  5. Step 5: Solve for x
    x = 79,319.24/186.96
  6. Step 6: Final answer
    x = 424.26

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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.