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Finding the Third Proportional to 12,816 and 20,924

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Solution

The third proportional to 12,816 and 20,924 is: 34,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 20,924 = 20,924 : x
  2. Step 2: Convert to fraction form
    12,816/20,924 = 20,924/x
  3. Step 3: Cross multiply
    12,816x = 20,924 × 20,924
  4. Step 4: Simplify right side
    12,816x = 437,813,776
  5. Step 5: Solve for x
    x = 437,813,776/12,816
  6. Step 6: Final answer
    x = 34,161.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.