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Finding the Third Proportional to 80,804.25 and 177,039

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Solution

The third proportional to 80,804.25 and 177,039 is: 387,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,804.25 : 177,039 = 177,039 : x
  2. Step 2: Convert to fraction form
    80,804.25/177,039 = 177,039/x
  3. Step 3: Cross multiply
    80,804.25x = 177,039 × 177,039
  4. Step 4: Simplify right side
    80,804.25x = 31,342,807,521
  5. Step 5: Solve for x
    x = 31,342,807,521/80,804.25
  6. Step 6: Final answer
    x = 387,885.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.