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Finding the Third Proportional to 6,871 and 16,718

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Solution

The third proportional to 6,871 and 16,718 is: 40,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871 : 16,718 = 16,718 : x
  2. Step 2: Convert to fraction form
    6,871/16,718 = 16,718/x
  3. Step 3: Cross multiply
    6,871x = 16,718 × 16,718
  4. Step 4: Simplify right side
    6,871x = 279,491,524
  5. Step 5: Solve for x
    x = 279,491,524/6,871
  6. Step 6: Final answer
    x = 40,676.98

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.