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Finding the Third Proportional to 281.11 and 483.19

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Solution

The third proportional to 281.11 and 483.19 is: 830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.11 : 483.19 = 483.19 : x
  2. Step 2: Convert to fraction form
    281.11/483.19 = 483.19/x
  3. Step 3: Cross multiply
    281.11x = 483.19 × 483.19
  4. Step 4: Simplify right side
    281.11x = 233,470.16
  5. Step 5: Solve for x
    x = 233,470.16/281.11
  6. Step 6: Final answer
    x = 830.53

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.