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Finding the Third Proportional to 404.75 and 562.25

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Solution

The third proportional to 404.75 and 562.25 is: 781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.75 : 562.25 = 562.25 : x
  2. Step 2: Convert to fraction form
    404.75/562.25 = 562.25/x
  3. Step 3: Cross multiply
    404.75x = 562.25 × 562.25
  4. Step 4: Simplify right side
    404.75x = 316,125.06
  5. Step 5: Solve for x
    x = 316,125.06/404.75
  6. Step 6: Final answer
    x = 781.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.