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Finding the Third Proportional to 21,869 and 44,735

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Solution

The third proportional to 21,869 and 44,735 is: 91,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,869 : 44,735 = 44,735 : x
  2. Step 2: Convert to fraction form
    21,869/44,735 = 44,735/x
  3. Step 3: Cross multiply
    21,869x = 44,735 × 44,735
  4. Step 4: Simplify right side
    21,869x = 2,001,220,225
  5. Step 5: Solve for x
    x = 2,001,220,225/21,869
  6. Step 6: Final answer
    x = 91,509.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.