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Finding the Third Proportional to 9,722 and 21,226

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Solution

The third proportional to 9,722 and 21,226 is: 46,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722 : 21,226 = 21,226 : x
  2. Step 2: Convert to fraction form
    9,722/21,226 = 21,226/x
  3. Step 3: Cross multiply
    9,722x = 21,226 × 21,226
  4. Step 4: Simplify right side
    9,722x = 450,543,076
  5. Step 5: Solve for x
    x = 450,543,076/9,722
  6. Step 6: Final answer
    x = 46,342.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.