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Finding the Third Proportional to 7,857 and 12,069

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Solution

The third proportional to 7,857 and 12,069 is: 18,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 12,069 = 12,069 : x
  2. Step 2: Convert to fraction form
    7,857/12,069 = 12,069/x
  3. Step 3: Cross multiply
    7,857x = 12,069 × 12,069
  4. Step 4: Simplify right side
    7,857x = 145,660,761
  5. Step 5: Solve for x
    x = 145,660,761/7,857
  6. Step 6: Final answer
    x = 18,538.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.