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Finding the Third Proportional to 404.88 and 571.19

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Solution

The third proportional to 404.88 and 571.19 is: 805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.88 : 571.19 = 571.19 : x
  2. Step 2: Convert to fraction form
    404.88/571.19 = 571.19/x
  3. Step 3: Cross multiply
    404.88x = 571.19 × 571.19
  4. Step 4: Simplify right side
    404.88x = 326,255.16
  5. Step 5: Solve for x
    x = 326,255.16/404.88
  6. Step 6: Final answer
    x = 805.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.