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Finding the Third Proportional to 3,406 and 8,236

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Solution

The third proportional to 3,406 and 8,236 is: 19,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 8,236 = 8,236 : x
  2. Step 2: Convert to fraction form
    3,406/8,236 = 8,236/x
  3. Step 3: Cross multiply
    3,406x = 8,236 × 8,236
  4. Step 4: Simplify right side
    3,406x = 67,831,696
  5. Step 5: Solve for x
    x = 67,831,696/3,406
  6. Step 6: Final answer
    x = 19,915.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.