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Finding the Third Proportional to 133,764.75 and 278,601.25

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Solution

The third proportional to 133,764.75 and 278,601.25 is: 580,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,764.75 : 278,601.25 = 278,601.25 : x
  2. Step 2: Convert to fraction form
    133,764.75/278,601.25 = 278,601.25/x
  3. Step 3: Cross multiply
    133,764.75x = 278,601.25 × 278,601.25
  4. Step 4: Simplify right side
    133,764.75x = 77,618,656,501.56
  5. Step 5: Solve for x
    x = 77,618,656,501.56/133,764.75
  6. Step 6: Final answer
    x = 580,262.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.