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Finding the Third Proportional to 177,976.50 and 378,561

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Solution

The third proportional to 177,976.50 and 378,561 is: 805,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,976.50 : 378,561 = 378,561 : x
  2. Step 2: Convert to fraction form
    177,976.50/378,561 = 378,561/x
  3. Step 3: Cross multiply
    177,976.50x = 378,561 × 378,561
  4. Step 4: Simplify right side
    177,976.50x = 143,308,430,721
  5. Step 5: Solve for x
    x = 143,308,430,721/177,976.50
  6. Step 6: Final answer
    x = 805,209.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.