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Finding the Third Proportional to 275,144.25 and 361,812.75

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Solution

The third proportional to 275,144.25 and 361,812.75 is: 475,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,144.25 : 361,812.75 = 361,812.75 : x
  2. Step 2: Convert to fraction form
    275,144.25/361,812.75 = 361,812.75/x
  3. Step 3: Cross multiply
    275,144.25x = 361,812.75 × 361,812.75
  4. Step 4: Simplify right side
    275,144.25x = 130,908,466,062.56
  5. Step 5: Solve for x
    x = 130,908,466,062.56/275,144.25
  6. Step 6: Final answer
    x = 475,781.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.