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Finding the Third Proportional to 3,838.50 and 8,156.25

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Solution

The third proportional to 3,838.50 and 8,156.25 is: 17,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.50 : 8,156.25 = 8,156.25 : x
  2. Step 2: Convert to fraction form
    3,838.50/8,156.25 = 8,156.25/x
  3. Step 3: Cross multiply
    3,838.50x = 8,156.25 × 8,156.25
  4. Step 4: Simplify right side
    3,838.50x = 66,524,414.06
  5. Step 5: Solve for x
    x = 66,524,414.06/3,838.50
  6. Step 6: Final answer
    x = 17,330.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.