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Finding the Third Proportional to 178,791.75 and 288,965.25

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Solution

The third proportional to 178,791.75 and 288,965.25 is: 467,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,791.75 : 288,965.25 = 288,965.25 : x
  2. Step 2: Convert to fraction form
    178,791.75/288,965.25 = 288,965.25/x
  3. Step 3: Cross multiply
    178,791.75x = 288,965.25 × 288,965.25
  4. Step 4: Simplify right side
    178,791.75x = 83,500,915,707.56
  5. Step 5: Solve for x
    x = 83,500,915,707.56/178,791.75
  6. Step 6: Final answer
    x = 467,028.91

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.