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Finding the Third Proportional to 80,673.75 and 177,272.25

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Solution

The third proportional to 80,673.75 and 177,272.25 is: 389,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,673.75 : 177,272.25 = 177,272.25 : x
  2. Step 2: Convert to fraction form
    80,673.75/177,272.25 = 177,272.25/x
  3. Step 3: Cross multiply
    80,673.75x = 177,272.25 × 177,272.25
  4. Step 4: Simplify right side
    80,673.75x = 31,425,450,620.06
  5. Step 5: Solve for x
    x = 31,425,450,620.06/80,673.75
  6. Step 6: Final answer
    x = 389,537.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.