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Finding the Third Proportional to 6,443 and 7,064

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Solution

The third proportional to 6,443 and 7,064 is: 7,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443 : 7,064 = 7,064 : x
  2. Step 2: Convert to fraction form
    6,443/7,064 = 7,064/x
  3. Step 3: Cross multiply
    6,443x = 7,064 × 7,064
  4. Step 4: Simplify right side
    6,443x = 49,900,096
  5. Step 5: Solve for x
    x = 49,900,096/6,443
  6. Step 6: Final answer
    x = 7,744.85

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.