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Finding the Third Proportional to 20,286 and 22,018

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Solution

The third proportional to 20,286 and 22,018 is: 23,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286 : 22,018 = 22,018 : x
  2. Step 2: Convert to fraction form
    20,286/22,018 = 22,018/x
  3. Step 3: Cross multiply
    20,286x = 22,018 × 22,018
  4. Step 4: Simplify right side
    20,286x = 484,792,324
  5. Step 5: Solve for x
    x = 484,792,324/20,286
  6. Step 6: Final answer
    x = 23,897.88

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1.5x scale

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.