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Finding the Third Proportional to 7,722 and 9,760

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Solution

The third proportional to 7,722 and 9,760 is: 12,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 9,760 = 9,760 : x
  2. Step 2: Convert to fraction form
    7,722/9,760 = 9,760/x
  3. Step 3: Cross multiply
    7,722x = 9,760 × 9,760
  4. Step 4: Simplify right side
    7,722x = 95,257,600
  5. Step 5: Solve for x
    x = 95,257,600/7,722
  6. Step 6: Final answer
    x = 12,335.87

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.