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Finding the Third Proportional to 18,816 and 28,422

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Solution

The third proportional to 18,816 and 28,422 is: 42,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,816 : 28,422 = 28,422 : x
  2. Step 2: Convert to fraction form
    18,816/28,422 = 28,422/x
  3. Step 3: Cross multiply
    18,816x = 28,422 × 28,422
  4. Step 4: Simplify right side
    18,816x = 807,810,084
  5. Step 5: Solve for x
    x = 807,810,084/18,816
  6. Step 6: Final answer
    x = 42,932.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.