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Finding the Third Proportional to 133,189.31 and 203,747.91

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Solution

The third proportional to 133,189.31 and 203,747.91 is: 311,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.31 : 203,747.91 = 203,747.91 : x
  2. Step 2: Convert to fraction form
    133,189.31/203,747.91 = 203,747.91/x
  3. Step 3: Cross multiply
    133,189.31x = 203,747.91 × 203,747.91
  4. Step 4: Simplify right side
    133,189.31x = 41,513,209,301.26
  5. Step 5: Solve for x
    x = 41,513,209,301.26/133,189.31
  6. Step 6: Final answer
    x = 311,685.74

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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.