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Finding the Third Proportional to 33,125 and 78,144.75

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Solution

The third proportional to 33,125 and 78,144.75 is: 184,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,125 : 78,144.75 = 78,144.75 : x
  2. Step 2: Convert to fraction form
    33,125/78,144.75 = 78,144.75/x
  3. Step 3: Cross multiply
    33,125x = 78,144.75 × 78,144.75
  4. Step 4: Simplify right side
    33,125x = 6,106,601,952.56
  5. Step 5: Solve for x
    x = 6,106,601,952.56/33,125
  6. Step 6: Final answer
    x = 184,350.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.