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Finding the Third Proportional to 136.95 and 281.12

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Solution

The third proportional to 136.95 and 281.12 is: 577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.95 : 281.12 = 281.12 : x
  2. Step 2: Convert to fraction form
    136.95/281.12 = 281.12/x
  3. Step 3: Cross multiply
    136.95x = 281.12 × 281.12
  4. Step 4: Simplify right side
    136.95x = 79,026.80
  5. Step 5: Solve for x
    x = 79,026.80/136.95
  6. Step 6: Final answer
    x = 577.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.