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Finding the Third Proportional to 1,912.50 and 4,054.78

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Solution

The third proportional to 1,912.50 and 4,054.78 is: 8,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.50 : 4,054.78 = 4,054.78 : x
  2. Step 2: Convert to fraction form
    1,912.50/4,054.78 = 4,054.78/x
  3. Step 3: Cross multiply
    1,912.50x = 4,054.78 × 4,054.78
  4. Step 4: Simplify right side
    1,912.50x = 16,441,250.99
  5. Step 5: Solve for x
    x = 16,441,250.99/1,912.50
  6. Step 6: Final answer
    x = 8,596.73

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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.