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Finding the Third Proportional to 12,769 and 19,821

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Solution

The third proportional to 12,769 and 19,821 is: 30,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769 : 19,821 = 19,821 : x
  2. Step 2: Convert to fraction form
    12,769/19,821 = 19,821/x
  3. Step 3: Cross multiply
    12,769x = 19,821 × 19,821
  4. Step 4: Simplify right side
    12,769x = 392,872,041
  5. Step 5: Solve for x
    x = 392,872,041/12,769
  6. Step 6: Final answer
    x = 30,767.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.