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Finding the Third Proportional to 7,821 and 12,438

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Solution

The third proportional to 7,821 and 12,438 is: 19,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 12,438 = 12,438 : x
  2. Step 2: Convert to fraction form
    7,821/12,438 = 12,438/x
  3. Step 3: Cross multiply
    7,821x = 12,438 × 12,438
  4. Step 4: Simplify right side
    7,821x = 154,703,844
  5. Step 5: Solve for x
    x = 154,703,844/7,821
  6. Step 6: Final answer
    x = 19,780.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.