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Finding the Third Proportional to 9,745 and 21,067

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Solution

The third proportional to 9,745 and 21,067 is: 45,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745 : 21,067 = 21,067 : x
  2. Step 2: Convert to fraction form
    9,745/21,067 = 21,067/x
  3. Step 3: Cross multiply
    9,745x = 21,067 × 21,067
  4. Step 4: Simplify right side
    9,745x = 443,818,489
  5. Step 5: Solve for x
    x = 443,818,489/9,745
  6. Step 6: Final answer
    x = 45,543.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.