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Finding the Third Proportional to 5.10 and 7.95

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Solution

The third proportional to 5.10 and 7.95 is: 12.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.10 : 7.95 = 7.95 : x
  2. Step 2: Convert to fraction form
    5.10/7.95 = 7.95/x
  3. Step 3: Cross multiply
    5.10x = 7.95 × 7.95
  4. Step 4: Simplify right side
    5.10x = 63.20
  5. Step 5: Solve for x
    x = 63.20/5.10
  6. Step 6: Final answer
    x = 12.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.