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Finding the Third Proportional to 418.97 and 909.94

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Solution

The third proportional to 418.97 and 909.94 is: 1,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.97 : 909.94 = 909.94 : x
  2. Step 2: Convert to fraction form
    418.97/909.94 = 909.94/x
  3. Step 3: Cross multiply
    418.97x = 909.94 × 909.94
  4. Step 4: Simplify right side
    418.97x = 827,986.25
  5. Step 5: Solve for x
    x = 827,986.25/418.97
  6. Step 6: Final answer
    x = 1,976.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.