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Finding the Third Proportional to 12,786 and 19,645

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Solution

The third proportional to 12,786 and 19,645 is: 30,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 19,645 = 19,645 : x
  2. Step 2: Convert to fraction form
    12,786/19,645 = 19,645/x
  3. Step 3: Cross multiply
    12,786x = 19,645 × 19,645
  4. Step 4: Simplify right side
    12,786x = 385,926,025
  5. Step 5: Solve for x
    x = 385,926,025/12,786
  6. Step 6: Final answer
    x = 30,183.48

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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.