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Finding the Third Proportional to 9,899 and 21,745

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Solution

The third proportional to 9,899 and 21,745 is: 47,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899 : 21,745 = 21,745 : x
  2. Step 2: Convert to fraction form
    9,899/21,745 = 21,745/x
  3. Step 3: Cross multiply
    9,899x = 21,745 × 21,745
  4. Step 4: Simplify right side
    9,899x = 472,845,025
  5. Step 5: Solve for x
    x = 472,845,025/9,899
  6. Step 6: Final answer
    x = 47,766.95

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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.