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Finding the Third Proportional to 121.59 and 281.20

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Solution

The third proportional to 121.59 and 281.20 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.59 : 281.20 = 281.20 : x
  2. Step 2: Convert to fraction form
    121.59/281.20 = 281.20/x
  3. Step 3: Cross multiply
    121.59x = 281.20 × 281.20
  4. Step 4: Simplify right side
    121.59x = 79,075.20
  5. Step 5: Solve for x
    x = 79,075.20/121.59
  6. Step 6: Final answer
    x = 650.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.