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Finding the Third Proportional to 281.91 and 376.27

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Solution

The third proportional to 281.91 and 376.27 is: 502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 376.27 = 376.27 : x
  2. Step 2: Convert to fraction form
    281.91/376.27 = 376.27/x
  3. Step 3: Cross multiply
    281.91x = 376.27 × 376.27
  4. Step 4: Simplify right side
    281.91x = 141,575.82
  5. Step 5: Solve for x
    x = 141,575.82/281.91
  6. Step 6: Final answer
    x = 502.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.