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Finding the Third Proportional to 47,353.75 and 78,912.75

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Solution

The third proportional to 47,353.75 and 78,912.75 is: 131,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,353.75 : 78,912.75 = 78,912.75 : x
  2. Step 2: Convert to fraction form
    47,353.75/78,912.75 = 78,912.75/x
  3. Step 3: Cross multiply
    47,353.75x = 78,912.75 × 78,912.75
  4. Step 4: Simplify right side
    47,353.75x = 6,227,222,112.56
  5. Step 5: Solve for x
    x = 6,227,222,112.56/47,353.75
  6. Step 6: Final answer
    x = 131,504.31

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.