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Finding the Third Proportional to 6.57 and 7.35

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Solution

The third proportional to 6.57 and 7.35 is: 8.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 7.35 = 7.35 : x
  2. Step 2: Convert to fraction form
    6.57/7.35 = 7.35/x
  3. Step 3: Cross multiply
    6.57x = 7.35 × 7.35
  4. Step 4: Simplify right side
    6.57x = 54.00
  5. Step 5: Solve for x
    x = 54.00/6.57
  6. Step 6: Final answer
    x = 8.22

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.