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Finding the Third Proportional to 7,845 and 16,781

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Solution

The third proportional to 7,845 and 16,781 is: 35,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 16,781 = 16,781 : x
  2. Step 2: Convert to fraction form
    7,845/16,781 = 16,781/x
  3. Step 3: Cross multiply
    7,845x = 16,781 × 16,781
  4. Step 4: Simplify right side
    7,845x = 281,601,961
  5. Step 5: Solve for x
    x = 281,601,961/7,845
  6. Step 6: Final answer
    x = 35,895.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.