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Finding the Third Proportional to 18,207 and 22,311

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Solution

The third proportional to 18,207 and 22,311 is: 27,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207 : 22,311 = 22,311 : x
  2. Step 2: Convert to fraction form
    18,207/22,311 = 22,311/x
  3. Step 3: Cross multiply
    18,207x = 22,311 × 22,311
  4. Step 4: Simplify right side
    18,207x = 497,780,721
  5. Step 5: Solve for x
    x = 497,780,721/18,207
  6. Step 6: Final answer
    x = 27,340.07

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.