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Finding the Third Proportional to 297.11 and 399.15

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Solution

The third proportional to 297.11 and 399.15 is: 536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.11 : 399.15 = 399.15 : x
  2. Step 2: Convert to fraction form
    297.11/399.15 = 399.15/x
  3. Step 3: Cross multiply
    297.11x = 399.15 × 399.15
  4. Step 4: Simplify right side
    297.11x = 159,317.92
  5. Step 5: Solve for x
    x = 159,317.92/297.11
  6. Step 6: Final answer
    x = 536.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.