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Finding the Third Proportional to 4,381 and 7,871

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Solution

The third proportional to 4,381 and 7,871 is: 14,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381 : 7,871 = 7,871 : x
  2. Step 2: Convert to fraction form
    4,381/7,871 = 7,871/x
  3. Step 3: Cross multiply
    4,381x = 7,871 × 7,871
  4. Step 4: Simplify right side
    4,381x = 61,952,641
  5. Step 5: Solve for x
    x = 61,952,641/4,381
  6. Step 6: Final answer
    x = 14,141.21

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.