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Finding the Third Proportional to 336.98 and 736.56

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Solution

The third proportional to 336.98 and 736.56 is: 1,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.98 : 736.56 = 736.56 : x
  2. Step 2: Convert to fraction form
    336.98/736.56 = 736.56/x
  3. Step 3: Cross multiply
    336.98x = 736.56 × 736.56
  4. Step 4: Simplify right side
    336.98x = 542,524.32
  5. Step 5: Solve for x
    x = 542,524.32/336.98
  6. Step 6: Final answer
    x = 1,609.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.