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Finding the Third Proportional to 9,767 and 21,055

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Solution

The third proportional to 9,767 and 21,055 is: 45,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 21,055 = 21,055 : x
  2. Step 2: Convert to fraction form
    9,767/21,055 = 21,055/x
  3. Step 3: Cross multiply
    9,767x = 21,055 × 21,055
  4. Step 4: Simplify right side
    9,767x = 443,313,025
  5. Step 5: Solve for x
    x = 443,313,025/9,767
  6. Step 6: Final answer
    x = 45,388.86

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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.