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Finding the Third Proportional to 281.44 and 619.06

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Solution

The third proportional to 281.44 and 619.06 is: 1,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.44 : 619.06 = 619.06 : x
  2. Step 2: Convert to fraction form
    281.44/619.06 = 619.06/x
  3. Step 3: Cross multiply
    281.44x = 619.06 × 619.06
  4. Step 4: Simplify right side
    281.44x = 383,238.38
  5. Step 5: Solve for x
    x = 383,238.38/281.44
  6. Step 6: Final answer
    x = 1,361.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.