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Finding the Third Proportional to 7,686 and 12,057

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Solution

The third proportional to 7,686 and 12,057 is: 18,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686 : 12,057 = 12,057 : x
  2. Step 2: Convert to fraction form
    7,686/12,057 = 12,057/x
  3. Step 3: Cross multiply
    7,686x = 12,057 × 12,057
  4. Step 4: Simplify right side
    7,686x = 145,371,249
  5. Step 5: Solve for x
    x = 145,371,249/7,686
  6. Step 6: Final answer
    x = 18,913.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.