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Finding the Third Proportional to 402.68 and 622.37

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Solution

The third proportional to 402.68 and 622.37 is: 961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.68 : 622.37 = 622.37 : x
  2. Step 2: Convert to fraction form
    402.68/622.37 = 622.37/x
  3. Step 3: Cross multiply
    402.68x = 622.37 × 622.37
  4. Step 4: Simplify right side
    402.68x = 387,345.78
  5. Step 5: Solve for x
    x = 387,345.78/402.68
  6. Step 6: Final answer
    x = 961.92

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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.