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Finding the Third Proportional to 177,389 and 394,143

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Solution

The third proportional to 177,389 and 394,143 is: 875,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,389 : 394,143 = 394,143 : x
  2. Step 2: Convert to fraction form
    177,389/394,143 = 394,143/x
  3. Step 3: Cross multiply
    177,389x = 394,143 × 394,143
  4. Step 4: Simplify right side
    177,389x = 155,348,704,449
  5. Step 5: Solve for x
    x = 155,348,704,449/177,389
  6. Step 6: Final answer
    x = 875,751.62

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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.