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Finding the Third Proportional to 177,975.50 and 378,559

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Solution

The third proportional to 177,975.50 and 378,559 is: 805,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,975.50 : 378,559 = 378,559 : x
  2. Step 2: Convert to fraction form
    177,975.50/378,559 = 378,559/x
  3. Step 3: Cross multiply
    177,975.50x = 378,559 × 378,559
  4. Step 4: Simplify right side
    177,975.50x = 143,306,916,481
  5. Step 5: Solve for x
    x = 143,306,916,481/177,975.50
  6. Step 6: Final answer
    x = 805,205.87

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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.