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Finding the Third Proportional to 7.57 and 12.05

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Solution

The third proportional to 7.57 and 12.05 is: 19.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.57 : 12.05 = 12.05 : x
  2. Step 2: Convert to fraction form
    7.57/12.05 = 12.05/x
  3. Step 3: Cross multiply
    7.57x = 12.05 × 12.05
  4. Step 4: Simplify right side
    7.57x = 145.20
  5. Step 5: Solve for x
    x = 145.20/7.57
  6. Step 6: Final answer
    x = 19.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.