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Finding the Third Proportional to 9,809 and 21,187

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Solution

The third proportional to 9,809 and 21,187 is: 45,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809 : 21,187 = 21,187 : x
  2. Step 2: Convert to fraction form
    9,809/21,187 = 21,187/x
  3. Step 3: Cross multiply
    9,809x = 21,187 × 21,187
  4. Step 4: Simplify right side
    9,809x = 448,888,969
  5. Step 5: Solve for x
    x = 448,888,969/9,809
  6. Step 6: Final answer
    x = 45,762.97

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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.