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Finding the Third Proportional to 181,908 and 385,448

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Solution

The third proportional to 181,908 and 385,448 is: 816,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,908 : 385,448 = 385,448 : x
  2. Step 2: Convert to fraction form
    181,908/385,448 = 385,448/x
  3. Step 3: Cross multiply
    181,908x = 385,448 × 385,448
  4. Step 4: Simplify right side
    181,908x = 148,570,160,704
  5. Step 5: Solve for x
    x = 148,570,160,704/181,908
  6. Step 6: Final answer
    x = 816,732.42

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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.