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Finding the Third Proportional to 7.10 and 11.15

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Solution

The third proportional to 7.10 and 11.15 is: 17.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.10 : 11.15 = 11.15 : x
  2. Step 2: Convert to fraction form
    7.10/11.15 = 11.15/x
  3. Step 3: Cross multiply
    7.10x = 11.15 × 11.15
  4. Step 4: Simplify right side
    7.10x = 124.32
  5. Step 5: Solve for x
    x = 124.32/7.10
  6. Step 6: Final answer
    x = 17.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.