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Finding the Third Proportional to 412.91 and 640.49

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Solution

The third proportional to 412.91 and 640.49 is: 993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.91 : 640.49 = 640.49 : x
  2. Step 2: Convert to fraction form
    412.91/640.49 = 640.49/x
  3. Step 3: Cross multiply
    412.91x = 640.49 × 640.49
  4. Step 4: Simplify right side
    412.91x = 410,221.49
  5. Step 5: Solve for x
    x = 410,221.49/412.91
  6. Step 6: Final answer
    x = 993.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.