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Finding the Third Proportional to 51,811 and 68,770.50

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Solution

The third proportional to 51,811 and 68,770.50 is: 91,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811 : 68,770.50 = 68,770.50 : x
  2. Step 2: Convert to fraction form
    51,811/68,770.50 = 68,770.50/x
  3. Step 3: Cross multiply
    51,811x = 68,770.50 × 68,770.50
  4. Step 4: Simplify right side
    51,811x = 4,729,381,670.25
  5. Step 5: Solve for x
    x = 4,729,381,670.25/51,811
  6. Step 6: Final answer
    x = 91,281.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.