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Finding the Third Proportional to 390.60 and 593.97

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Solution

The third proportional to 390.60 and 593.97 is: 903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.60 : 593.97 = 593.97 : x
  2. Step 2: Convert to fraction form
    390.60/593.97 = 593.97/x
  3. Step 3: Cross multiply
    390.60x = 593.97 × 593.97
  4. Step 4: Simplify right side
    390.60x = 352,804.68
  5. Step 5: Solve for x
    x = 352,804.68/390.60
  6. Step 6: Final answer
    x = 903.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.