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Finding the Third Proportional to 7,728 and 12,331

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Solution

The third proportional to 7,728 and 12,331 is: 19,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 12,331 = 12,331 : x
  2. Step 2: Convert to fraction form
    7,728/12,331 = 12,331/x
  3. Step 3: Cross multiply
    7,728x = 12,331 × 12,331
  4. Step 4: Simplify right side
    7,728x = 152,053,561
  5. Step 5: Solve for x
    x = 152,053,561/7,728
  6. Step 6: Final answer
    x = 19,675.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.