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Finding the Third Proportional to 15,518 and 22,163

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Solution

The third proportional to 15,518 and 22,163 is: 31,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,518 : 22,163 = 22,163 : x
  2. Step 2: Convert to fraction form
    15,518/22,163 = 22,163/x
  3. Step 3: Cross multiply
    15,518x = 22,163 × 22,163
  4. Step 4: Simplify right side
    15,518x = 491,198,569
  5. Step 5: Solve for x
    x = 491,198,569/15,518
  6. Step 6: Final answer
    x = 31,653.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.