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Finding the Third Proportional to 400.92 and 622.34

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Solution

The third proportional to 400.92 and 622.34 is: 966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 622.34 = 622.34 : x
  2. Step 2: Convert to fraction form
    400.92/622.34 = 622.34/x
  3. Step 3: Cross multiply
    400.92x = 622.34 × 622.34
  4. Step 4: Simplify right side
    400.92x = 387,302.02
  5. Step 5: Solve for x
    x = 387,302.02/400.92
  6. Step 6: Final answer
    x = 966.03

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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.