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Finding the Third Proportional to 275,319.75 and 387,717

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Solution

The third proportional to 275,319.75 and 387,717 is: 545,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,319.75 : 387,717 = 387,717 : x
  2. Step 2: Convert to fraction form
    275,319.75/387,717 = 387,717/x
  3. Step 3: Cross multiply
    275,319.75x = 387,717 × 387,717
  4. Step 4: Simplify right side
    275,319.75x = 150,324,472,089
  5. Step 5: Solve for x
    x = 150,324,472,089/275,319.75
  6. Step 6: Final answer
    x = 545,999.60

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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.