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Finding the Third Proportional to 2,836 and 6,231.50

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Solution

The third proportional to 2,836 and 6,231.50 is: 13,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836 : 6,231.50 = 6,231.50 : x
  2. Step 2: Convert to fraction form
    2,836/6,231.50 = 6,231.50/x
  3. Step 3: Cross multiply
    2,836x = 6,231.50 × 6,231.50
  4. Step 4: Simplify right side
    2,836x = 38,831,592.25
  5. Step 5: Solve for x
    x = 38,831,592.25/2,836
  6. Step 6: Final answer
    x = 13,692.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.