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Finding the Third Proportional to 408.09 and 882.84

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Solution

The third proportional to 408.09 and 882.84 is: 1,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 882.84 = 882.84 : x
  2. Step 2: Convert to fraction form
    408.09/882.84 = 882.84/x
  3. Step 3: Cross multiply
    408.09x = 882.84 × 882.84
  4. Step 4: Simplify right side
    408.09x = 779,413.09
  5. Step 5: Solve for x
    x = 779,413.09/408.09
  6. Step 6: Final answer
    x = 1,909.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.