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Finding the Third Proportional to 181,539 and 384,669

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Solution

The third proportional to 181,539 and 384,669 is: 815,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 384,669 = 384,669 : x
  2. Step 2: Convert to fraction form
    181,539/384,669 = 384,669/x
  3. Step 3: Cross multiply
    181,539x = 384,669 × 384,669
  4. Step 4: Simplify right side
    181,539x = 147,970,239,561
  5. Step 5: Solve for x
    x = 147,970,239,561/181,539
  6. Step 6: Final answer
    x = 815,087.89

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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.