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Finding the Third Proportional to 21,807 and 44,208

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Solution

The third proportional to 21,807 and 44,208 is: 89,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807 : 44,208 = 44,208 : x
  2. Step 2: Convert to fraction form
    21,807/44,208 = 44,208/x
  3. Step 3: Cross multiply
    21,807x = 44,208 × 44,208
  4. Step 4: Simplify right side
    21,807x = 1,954,347,264
  5. Step 5: Solve for x
    x = 1,954,347,264/21,807
  6. Step 6: Final answer
    x = 89,620.18

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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.