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Finding the Third Proportional to 21,589 and 28,695

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Solution

The third proportional to 21,589 and 28,695 is: 38,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589 : 28,695 = 28,695 : x
  2. Step 2: Convert to fraction form
    21,589/28,695 = 28,695/x
  3. Step 3: Cross multiply
    21,589x = 28,695 × 28,695
  4. Step 4: Simplify right side
    21,589x = 823,403,025
  5. Step 5: Solve for x
    x = 823,403,025/21,589
  6. Step 6: Final answer
    x = 38,139.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.