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Finding the Third Proportional to 335.29 and 518.12

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Solution

The third proportional to 335.29 and 518.12 is: 800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.29 : 518.12 = 518.12 : x
  2. Step 2: Convert to fraction form
    335.29/518.12 = 518.12/x
  3. Step 3: Cross multiply
    335.29x = 518.12 × 518.12
  4. Step 4: Simplify right side
    335.29x = 268,443.40
  5. Step 5: Solve for x
    x = 268,443.40/335.29
  6. Step 6: Final answer
    x = 800.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.