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Finding the Third Proportional to 177,912.75 and 275,180.25

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Solution

The third proportional to 177,912.75 and 275,180.25 is: 425,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,912.75 : 275,180.25 = 275,180.25 : x
  2. Step 2: Convert to fraction form
    177,912.75/275,180.25 = 275,180.25/x
  3. Step 3: Cross multiply
    177,912.75x = 275,180.25 × 275,180.25
  4. Step 4: Simplify right side
    177,912.75x = 75,724,169,990.06
  5. Step 5: Solve for x
    x = 75,724,169,990.06/177,912.75
  6. Step 6: Final answer
    x = 425,625.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.