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Finding the Third Proportional to 404.26 and 866.18

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Solution

The third proportional to 404.26 and 866.18 is: 1,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.26 : 866.18 = 866.18 : x
  2. Step 2: Convert to fraction form
    404.26/866.18 = 866.18/x
  3. Step 3: Cross multiply
    404.26x = 866.18 × 866.18
  4. Step 4: Simplify right side
    404.26x = 750,267.25
  5. Step 5: Solve for x
    x = 750,267.25/404.26
  6. Step 6: Final answer
    x = 1,855.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.