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Finding the Third Proportional to 281.11 and 395.58

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Solution

The third proportional to 281.11 and 395.58 is: 556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.11 : 395.58 = 395.58 : x
  2. Step 2: Convert to fraction form
    281.11/395.58 = 395.58/x
  3. Step 3: Cross multiply
    281.11x = 395.58 × 395.58
  4. Step 4: Simplify right side
    281.11x = 156,482.05
  5. Step 5: Solve for x
    x = 156,482.05/281.11
  6. Step 6: Final answer
    x = 556.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.