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Finding the Third Proportional to 6.40 and 7.23

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Solution

The third proportional to 6.40 and 7.23 is: 8.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.40 : 7.23 = 7.23 : x
  2. Step 2: Convert to fraction form
    6.40/7.23 = 7.23/x
  3. Step 3: Cross multiply
    6.40x = 7.23 × 7.23
  4. Step 4: Simplify right side
    6.40x = 52.32
  5. Step 5: Solve for x
    x = 52.32/6.40
  6. Step 6: Final answer
    x = 8.17

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.