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Finding the Third Proportional to 336.33 and 727.69

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Solution

The third proportional to 336.33 and 727.69 is: 1,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.33 : 727.69 = 727.69 : x
  2. Step 2: Convert to fraction form
    336.33/727.69 = 727.69/x
  3. Step 3: Cross multiply
    336.33x = 727.69 × 727.69
  4. Step 4: Simplify right side
    336.33x = 529,529.10
  5. Step 5: Solve for x
    x = 529,529.10/336.33
  6. Step 6: Final answer
    x = 1,574.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.