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Finding the Third Proportional to 80,749.50 and 188,610

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Solution

The third proportional to 80,749.50 and 188,610 is: 440,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,749.50 : 188,610 = 188,610 : x
  2. Step 2: Convert to fraction form
    80,749.50/188,610 = 188,610/x
  3. Step 3: Cross multiply
    80,749.50x = 188,610 × 188,610
  4. Step 4: Simplify right side
    80,749.50x = 35,573,732,100
  5. Step 5: Solve for x
    x = 35,573,732,100/80,749.50
  6. Step 6: Final answer
    x = 440,544.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.