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Finding the Third Proportional to 7,978 and 9,034

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Solution

The third proportional to 7,978 and 9,034 is: 10,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978 : 9,034 = 9,034 : x
  2. Step 2: Convert to fraction form
    7,978/9,034 = 9,034/x
  3. Step 3: Cross multiply
    7,978x = 9,034 × 9,034
  4. Step 4: Simplify right side
    7,978x = 81,613,156
  5. Step 5: Solve for x
    x = 81,613,156/7,978
  6. Step 6: Final answer
    x = 10,229.78

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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.