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Finding the Third Proportional to 187,888 and 394,239

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Solution

The third proportional to 187,888 and 394,239 is: 827,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,888 : 394,239 = 394,239 : x
  2. Step 2: Convert to fraction form
    187,888/394,239 = 394,239/x
  3. Step 3: Cross multiply
    187,888x = 394,239 × 394,239
  4. Step 4: Simplify right side
    187,888x = 155,424,389,121
  5. Step 5: Solve for x
    x = 155,424,389,121/187,888
  6. Step 6: Final answer
    x = 827,218.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.