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Finding the Third Proportional to 7,812 and 15,384

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Solution

The third proportional to 7,812 and 15,384 is: 30,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 15,384 = 15,384 : x
  2. Step 2: Convert to fraction form
    7,812/15,384 = 15,384/x
  3. Step 3: Cross multiply
    7,812x = 15,384 × 15,384
  4. Step 4: Simplify right side
    7,812x = 236,667,456
  5. Step 5: Solve for x
    x = 236,667,456/7,812
  6. Step 6: Final answer
    x = 30,295.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.