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Finding the Third Proportional to 6,442 and 7,108

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Solution

The third proportional to 6,442 and 7,108 is: 7,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442 : 7,108 = 7,108 : x
  2. Step 2: Convert to fraction form
    6,442/7,108 = 7,108/x
  3. Step 3: Cross multiply
    6,442x = 7,108 × 7,108
  4. Step 4: Simplify right side
    6,442x = 50,523,664
  5. Step 5: Solve for x
    x = 50,523,664/6,442
  6. Step 6: Final answer
    x = 7,842.85

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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.