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Finding the Third Proportional to 13,822 and 30,236

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Solution

The third proportional to 13,822 and 30,236 is: 66,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822 : 30,236 = 30,236 : x
  2. Step 2: Convert to fraction form
    13,822/30,236 = 30,236/x
  3. Step 3: Cross multiply
    13,822x = 30,236 × 30,236
  4. Step 4: Simplify right side
    13,822x = 914,215,696
  5. Step 5: Solve for x
    x = 914,215,696/13,822
  6. Step 6: Final answer
    x = 66,142.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.