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Finding the Third Proportional to 404.06 and 611.91

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Solution

The third proportional to 404.06 and 611.91 is: 926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 611.91 = 611.91 : x
  2. Step 2: Convert to fraction form
    404.06/611.91 = 611.91/x
  3. Step 3: Cross multiply
    404.06x = 611.91 × 611.91
  4. Step 4: Simplify right side
    404.06x = 374,429.26
  5. Step 5: Solve for x
    x = 374,429.26/404.06
  6. Step 6: Final answer
    x = 926.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.