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Finding the Third Proportional to 177,718.50 and 394,803

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Solution

The third proportional to 177,718.50 and 394,803 is: 877,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,718.50 : 394,803 = 394,803 : x
  2. Step 2: Convert to fraction form
    177,718.50/394,803 = 394,803/x
  3. Step 3: Cross multiply
    177,718.50x = 394,803 × 394,803
  4. Step 4: Simplify right side
    177,718.50x = 155,869,408,809
  5. Step 5: Solve for x
    x = 155,869,408,809/177,718.50
  6. Step 6: Final answer
    x = 877,057.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.