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Finding the Third Proportional to 8,990 and 21,161

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Solution

The third proportional to 8,990 and 21,161 is: 49,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,990 : 21,161 = 21,161 : x
  2. Step 2: Convert to fraction form
    8,990/21,161 = 21,161/x
  3. Step 3: Cross multiply
    8,990x = 21,161 × 21,161
  4. Step 4: Simplify right side
    8,990x = 447,787,921
  5. Step 5: Solve for x
    x = 447,787,921/8,990
  6. Step 6: Final answer
    x = 49,809.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.