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Finding the Third Proportional to 281.81 and 400.31

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Solution

The third proportional to 281.81 and 400.31 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 400.31 = 400.31 : x
  2. Step 2: Convert to fraction form
    281.81/400.31 = 400.31/x
  3. Step 3: Cross multiply
    281.81x = 400.31 × 400.31
  4. Step 4: Simplify right side
    281.81x = 160,250.10
  5. Step 5: Solve for x
    x = 160,250.10/281.81
  6. Step 6: Final answer
    x = 568.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.