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Finding the Third Proportional to 336.23 and 697.92

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Solution

The third proportional to 336.23 and 697.92 is: 1,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.23 : 697.92 = 697.92 : x
  2. Step 2: Convert to fraction form
    336.23/697.92 = 697.92/x
  3. Step 3: Cross multiply
    336.23x = 697.92 × 697.92
  4. Step 4: Simplify right side
    336.23x = 487,094.94
  5. Step 5: Solve for x
    x = 487,094.94/336.23
  6. Step 6: Final answer
    x = 1,448.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.