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Finding the Third Proportional to 7.57 and 11.00

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Solution

The third proportional to 7.57 and 11.00 is: 15.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.57 : 11.00 = 11.00 : x
  2. Step 2: Convert to fraction form
    7.57/11.00 = 11.00/x
  3. Step 3: Cross multiply
    7.57x = 11.00 × 11.00
  4. Step 4: Simplify right side
    7.57x = 121.09
  5. Step 5: Solve for x
    x = 121.09/7.57
  6. Step 6: Final answer
    x = 15.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.