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Finding the Third Proportional to 19,206 and 21,211

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Solution

The third proportional to 19,206 and 21,211 is: 23,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 21,211 = 21,211 : x
  2. Step 2: Convert to fraction form
    19,206/21,211 = 21,211/x
  3. Step 3: Cross multiply
    19,206x = 21,211 × 21,211
  4. Step 4: Simplify right side
    19,206x = 449,906,521
  5. Step 5: Solve for x
    x = 449,906,521/19,206
  6. Step 6: Final answer
    x = 23,425.31

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.