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Finding the Third Proportional to 20,215 and 22,051

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Solution

The third proportional to 20,215 and 22,051 is: 24,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215 : 22,051 = 22,051 : x
  2. Step 2: Convert to fraction form
    20,215/22,051 = 22,051/x
  3. Step 3: Cross multiply
    20,215x = 22,051 × 22,051
  4. Step 4: Simplify right side
    20,215x = 486,246,601
  5. Step 5: Solve for x
    x = 486,246,601/20,215
  6. Step 6: Final answer
    x = 24,053.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.