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Finding the Third Proportional to 6.56 and 7.31

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Solution

The third proportional to 6.56 and 7.31 is: 8.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.56 : 7.31 = 7.31 : x
  2. Step 2: Convert to fraction form
    6.56/7.31 = 7.31/x
  3. Step 3: Cross multiply
    6.56x = 7.31 × 7.31
  4. Step 4: Simplify right side
    6.56x = 53.47
  5. Step 5: Solve for x
    x = 53.47/6.56
  6. Step 6: Final answer
    x = 8.15

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.