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Finding the Third Proportional to 20,362 and 44,809

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Solution

The third proportional to 20,362 and 44,809 is: 98,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,362 : 44,809 = 44,809 : x
  2. Step 2: Convert to fraction form
    20,362/44,809 = 44,809/x
  3. Step 3: Cross multiply
    20,362x = 44,809 × 44,809
  4. Step 4: Simplify right side
    20,362x = 2,007,846,481
  5. Step 5: Solve for x
    x = 2,007,846,481/20,362
  6. Step 6: Final answer
    x = 98,607.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.