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Finding the Third Proportional to 7,871 and 12,080

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Solution

The third proportional to 7,871 and 12,080 is: 18,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871 : 12,080 = 12,080 : x
  2. Step 2: Convert to fraction form
    7,871/12,080 = 12,080/x
  3. Step 3: Cross multiply
    7,871x = 12,080 × 12,080
  4. Step 4: Simplify right side
    7,871x = 145,926,400
  5. Step 5: Solve for x
    x = 145,926,400/7,871
  6. Step 6: Final answer
    x = 18,539.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.