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Finding the Third Proportional to 387.09 and 793.31

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Solution

The third proportional to 387.09 and 793.31 is: 1,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.09 : 793.31 = 793.31 : x
  2. Step 2: Convert to fraction form
    387.09/793.31 = 793.31/x
  3. Step 3: Cross multiply
    387.09x = 793.31 × 793.31
  4. Step 4: Simplify right side
    387.09x = 629,344.72
  5. Step 5: Solve for x
    x = 629,344.72/387.09
  6. Step 6: Final answer
    x = 1,625.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.