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Finding the Third Proportional to 21,524 and 28,869

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Solution

The third proportional to 21,524 and 28,869 is: 38,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524 : 28,869 = 28,869 : x
  2. Step 2: Convert to fraction form
    21,524/28,869 = 28,869/x
  3. Step 3: Cross multiply
    21,524x = 28,869 × 28,869
  4. Step 4: Simplify right side
    21,524x = 833,419,161
  5. Step 5: Solve for x
    x = 833,419,161/21,524
  6. Step 6: Final answer
    x = 38,720.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.