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Finding the Third Proportional to 402.94 and 622.21

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Solution

The third proportional to 402.94 and 622.21 is: 960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 622.21 = 622.21 : x
  2. Step 2: Convert to fraction form
    402.94/622.21 = 622.21/x
  3. Step 3: Cross multiply
    402.94x = 622.21 × 622.21
  4. Step 4: Simplify right side
    402.94x = 387,148.88
  5. Step 5: Solve for x
    x = 387,148.88/402.94
  6. Step 6: Final answer
    x = 960.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.