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Finding the Third Proportional to 10,226.88 and 22,067.44

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Solution

The third proportional to 10,226.88 and 22,067.44 is: 47,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.88 : 22,067.44 = 22,067.44 : x
  2. Step 2: Convert to fraction form
    10,226.88/22,067.44 = 22,067.44/x
  3. Step 3: Cross multiply
    10,226.88x = 22,067.44 × 22,067.44
  4. Step 4: Simplify right side
    10,226.88x = 486,971,797.82
  5. Step 5: Solve for x
    x = 486,971,797.82/10,226.88
  6. Step 6: Final answer
    x = 47,616.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.