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Finding the Third Proportional to 177,456.09 and 387,027.47

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Solution

The third proportional to 177,456.09 and 387,027.47 is: 844,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,456.09 : 387,027.47 = 387,027.47 : x
  2. Step 2: Convert to fraction form
    177,456.09/387,027.47 = 387,027.47/x
  3. Step 3: Cross multiply
    177,456.09x = 387,027.47 × 387,027.47
  4. Step 4: Simplify right side
    177,456.09x = 149,790,261,567.03
  5. Step 5: Solve for x
    x = 149,790,261,567.03/177,456.09
  6. Step 6: Final answer
    x = 844,097.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.