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Finding the Third Proportional to 281.92 and 578.07

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Solution

The third proportional to 281.92 and 578.07 is: 1,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 578.07 = 578.07 : x
  2. Step 2: Convert to fraction form
    281.92/578.07 = 578.07/x
  3. Step 3: Cross multiply
    281.92x = 578.07 × 578.07
  4. Step 4: Simplify right side
    281.92x = 334,169.80
  5. Step 5: Solve for x
    x = 334,169.80/281.92
  6. Step 6: Final answer
    x = 1,185.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.