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Finding the Third Proportional to 336.66 and 739.34

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Solution

The third proportional to 336.66 and 739.34 is: 1,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.66 : 739.34 = 739.34 : x
  2. Step 2: Convert to fraction form
    336.66/739.34 = 739.34/x
  3. Step 3: Cross multiply
    336.66x = 739.34 × 739.34
  4. Step 4: Simplify right side
    336.66x = 546,617.63
  5. Step 5: Solve for x
    x = 546,617.63/336.66
  6. Step 6: Final answer
    x = 1,623.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.