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Finding the Third Proportional to 7,731 and 8,847

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Solution

The third proportional to 7,731 and 8,847 is: 10,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731 : 8,847 = 8,847 : x
  2. Step 2: Convert to fraction form
    7,731/8,847 = 8,847/x
  3. Step 3: Cross multiply
    7,731x = 8,847 × 8,847
  4. Step 4: Simplify right side
    7,731x = 78,269,409
  5. Step 5: Solve for x
    x = 78,269,409/7,731
  6. Step 6: Final answer
    x = 10,124.10

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.