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Finding the Third Proportional to 306.56 and 698.91

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Solution

The third proportional to 306.56 and 698.91 is: 1,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 698.91 = 698.91 : x
  2. Step 2: Convert to fraction form
    306.56/698.91 = 698.91/x
  3. Step 3: Cross multiply
    306.56x = 698.91 × 698.91
  4. Step 4: Simplify right side
    306.56x = 488,469.95
  5. Step 5: Solve for x
    x = 488,469.95/306.56
  6. Step 6: Final answer
    x = 1,593.38

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.