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Finding the Third Proportional to 15,892 and 20,905

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Solution

The third proportional to 15,892 and 20,905 is: 27,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892 : 20,905 = 20,905 : x
  2. Step 2: Convert to fraction form
    15,892/20,905 = 20,905/x
  3. Step 3: Cross multiply
    15,892x = 20,905 × 20,905
  4. Step 4: Simplify right side
    15,892x = 437,019,025
  5. Step 5: Solve for x
    x = 437,019,025/15,892
  6. Step 6: Final answer
    x = 27,499.31

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.