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Finding the Third Proportional to 116.19 and 281.84

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Solution

The third proportional to 116.19 and 281.84 is: 683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 281.84 = 281.84 : x
  2. Step 2: Convert to fraction form
    116.19/281.84 = 281.84/x
  3. Step 3: Cross multiply
    116.19x = 281.84 × 281.84
  4. Step 4: Simplify right side
    116.19x = 79,435.90
  5. Step 5: Solve for x
    x = 79,435.90/116.19
  6. Step 6: Final answer
    x = 683.69

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.