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Finding the Third Proportional to 12,186 and 20,219

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Solution

The third proportional to 12,186 and 20,219 is: 33,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186 : 20,219 = 20,219 : x
  2. Step 2: Convert to fraction form
    12,186/20,219 = 20,219/x
  3. Step 3: Cross multiply
    12,186x = 20,219 × 20,219
  4. Step 4: Simplify right side
    12,186x = 408,807,961
  5. Step 5: Solve for x
    x = 408,807,961/12,186
  6. Step 6: Final answer
    x = 33,547.35

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.