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Finding the Third Proportional to 181,589 and 385,138

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Solution

The third proportional to 181,589 and 385,138 is: 816,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,589 : 385,138 = 385,138 : x
  2. Step 2: Convert to fraction form
    181,589/385,138 = 385,138/x
  3. Step 3: Cross multiply
    181,589x = 385,138 × 385,138
  4. Step 4: Simplify right side
    181,589x = 148,331,279,044
  5. Step 5: Solve for x
    x = 148,331,279,044/181,589
  6. Step 6: Final answer
    x = 816,851.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.