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Finding the Third Proportional to 7,648 and 8,764

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Solution

The third proportional to 7,648 and 8,764 is: 10,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648 : 8,764 = 8,764 : x
  2. Step 2: Convert to fraction form
    7,648/8,764 = 8,764/x
  3. Step 3: Cross multiply
    7,648x = 8,764 × 8,764
  4. Step 4: Simplify right side
    7,648x = 76,807,696
  5. Step 5: Solve for x
    x = 76,807,696/7,648
  6. Step 6: Final answer
    x = 10,042.85

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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.