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Finding the Third Proportional to 12,285 and 21,816

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Solution

The third proportional to 12,285 and 21,816 is: 38,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285 : 21,816 = 21,816 : x
  2. Step 2: Convert to fraction form
    12,285/21,816 = 21,816/x
  3. Step 3: Cross multiply
    12,285x = 21,816 × 21,816
  4. Step 4: Simplify right side
    12,285x = 475,937,856
  5. Step 5: Solve for x
    x = 475,937,856/12,285
  6. Step 6: Final answer
    x = 38,741.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.