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Finding the Third Proportional to 19,380 and 21,081

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Solution

The third proportional to 19,380 and 21,081 is: 22,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,380 : 21,081 = 21,081 : x
  2. Step 2: Convert to fraction form
    19,380/21,081 = 21,081/x
  3. Step 3: Cross multiply
    19,380x = 21,081 × 21,081
  4. Step 4: Simplify right side
    19,380x = 444,408,561
  5. Step 5: Solve for x
    x = 444,408,561/19,380
  6. Step 6: Final answer
    x = 22,931.30

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.