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Finding the Third Proportional to 275,237.72 and 387,597.09

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Solution

The third proportional to 275,237.72 and 387,597.09 is: 545,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,237.72 : 387,597.09 = 387,597.09 : x
  2. Step 2: Convert to fraction form
    275,237.72/387,597.09 = 387,597.09/x
  3. Step 3: Cross multiply
    275,237.72x = 387,597.09 × 387,597.09
  4. Step 4: Simplify right side
    275,237.72x = 150,231,507,083.45
  5. Step 5: Solve for x
    x = 150,231,507,083.45/275,237.72
  6. Step 6: Final answer
    x = 545,824.56

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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.