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Finding the Third Proportional to 21,822 and 44,292

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Solution

The third proportional to 21,822 and 44,292 is: 89,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822 : 44,292 = 44,292 : x
  2. Step 2: Convert to fraction form
    21,822/44,292 = 44,292/x
  3. Step 3: Cross multiply
    21,822x = 44,292 × 44,292
  4. Step 4: Simplify right side
    21,822x = 1,961,781,264
  5. Step 5: Solve for x
    x = 1,961,781,264/21,822
  6. Step 6: Final answer
    x = 89,899.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.