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Finding the Third Proportional to 9,911 and 22,009

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Solution

The third proportional to 9,911 and 22,009 is: 48,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911 : 22,009 = 22,009 : x
  2. Step 2: Convert to fraction form
    9,911/22,009 = 22,009/x
  3. Step 3: Cross multiply
    9,911x = 22,009 × 22,009
  4. Step 4: Simplify right side
    9,911x = 484,396,081
  5. Step 5: Solve for x
    x = 484,396,081/9,911
  6. Step 6: Final answer
    x = 48,874.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.