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Finding the Third Proportional to 7.10 and 15.12

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Solution

The third proportional to 7.10 and 15.12 is: 32.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.10 : 15.12 = 15.12 : x
  2. Step 2: Convert to fraction form
    7.10/15.12 = 15.12/x
  3. Step 3: Cross multiply
    7.10x = 15.12 × 15.12
  4. Step 4: Simplify right side
    7.10x = 228.53
  5. Step 5: Solve for x
    x = 228.53/7.10
  6. Step 6: Final answer
    x = 32.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.