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Finding the Third Proportional to 122.44 and 281.53

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Solution

The third proportional to 122.44 and 281.53 is: 647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.44 : 281.53 = 281.53 : x
  2. Step 2: Convert to fraction form
    122.44/281.53 = 281.53/x
  3. Step 3: Cross multiply
    122.44x = 281.53 × 281.53
  4. Step 4: Simplify right side
    122.44x = 79,259.84
  5. Step 5: Solve for x
    x = 79,259.84/122.44
  6. Step 6: Final answer
    x = 647.35

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.