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Finding the Third Proportional to 331.59 and 622.90

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Solution

The third proportional to 331.59 and 622.90 is: 1,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 622.90 = 622.90 : x
  2. Step 2: Convert to fraction form
    331.59/622.90 = 622.90/x
  3. Step 3: Cross multiply
    331.59x = 622.90 × 622.90
  4. Step 4: Simplify right side
    331.59x = 388,002.46
  5. Step 5: Solve for x
    x = 388,002.46/331.59
  6. Step 6: Final answer
    x = 1,170.11

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.