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Finding the Third Proportional to 402.38 and 622.63

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Solution

The third proportional to 402.38 and 622.63 is: 963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.38 : 622.63 = 622.63 : x
  2. Step 2: Convert to fraction form
    402.38/622.63 = 622.63/x
  3. Step 3: Cross multiply
    402.38x = 622.63 × 622.63
  4. Step 4: Simplify right side
    402.38x = 387,661.89
  5. Step 5: Solve for x
    x = 387,661.89/402.38
  6. Step 6: Final answer
    x = 963.43

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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.