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Finding the Third Proportional to 275,238.75 and 387,598.50

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Solution

The third proportional to 275,238.75 and 387,598.50 is: 545,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,238.75 : 387,598.50 = 387,598.50 : x
  2. Step 2: Convert to fraction form
    275,238.75/387,598.50 = 387,598.50/x
  3. Step 3: Cross multiply
    275,238.75x = 387,598.50 × 387,598.50
  4. Step 4: Simplify right side
    275,238.75x = 150,232,597,202.25
  5. Step 5: Solve for x
    x = 150,232,597,202.25/275,238.75
  6. Step 6: Final answer
    x = 545,826.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.