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Finding the Third Proportional to 15,884 and 21,800

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Solution

The third proportional to 15,884 and 21,800 is: 29,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 21,800 = 21,800 : x
  2. Step 2: Convert to fraction form
    15,884/21,800 = 21,800/x
  3. Step 3: Cross multiply
    15,884x = 21,800 × 21,800
  4. Step 4: Simplify right side
    15,884x = 475,240,000
  5. Step 5: Solve for x
    x = 475,240,000/15,884
  6. Step 6: Final answer
    x = 29,919.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.