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Finding the Third Proportional to 133,388.50 and 203,470.50

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Solution

The third proportional to 133,388.50 and 203,470.50 is: 310,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,388.50 : 203,470.50 = 203,470.50 : x
  2. Step 2: Convert to fraction form
    133,388.50/203,470.50 = 203,470.50/x
  3. Step 3: Cross multiply
    133,388.50x = 203,470.50 × 203,470.50
  4. Step 4: Simplify right side
    133,388.50x = 41,400,244,370.25
  5. Step 5: Solve for x
    x = 41,400,244,370.25/133,388.50
  6. Step 6: Final answer
    x = 310,373.42

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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.