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Finding the Third Proportional to 7,538 and 8,674

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Solution

The third proportional to 7,538 and 8,674 is: 9,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538 : 8,674 = 8,674 : x
  2. Step 2: Convert to fraction form
    7,538/8,674 = 8,674/x
  3. Step 3: Cross multiply
    7,538x = 8,674 × 8,674
  4. Step 4: Simplify right side
    7,538x = 75,238,276
  5. Step 5: Solve for x
    x = 75,238,276/7,538
  6. Step 6: Final answer
    x = 9,981.20

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.