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Finding the Third Proportional to 133,189.75 and 203,748.75

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Solution

The third proportional to 133,189.75 and 203,748.75 is: 311,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.75 : 203,748.75 = 203,748.75 : x
  2. Step 2: Convert to fraction form
    133,189.75/203,748.75 = 203,748.75/x
  3. Step 3: Cross multiply
    133,189.75x = 203,748.75 × 203,748.75
  4. Step 4: Simplify right side
    133,189.75x = 41,513,553,126.56
  5. Step 5: Solve for x
    x = 41,513,553,126.56/133,189.75
  6. Step 6: Final answer
    x = 311,687.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.