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Finding the Third Proportional to 418.25 and 917.75

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Solution

The third proportional to 418.25 and 917.75 is: 2,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.25 : 917.75 = 917.75 : x
  2. Step 2: Convert to fraction form
    418.25/917.75 = 917.75/x
  3. Step 3: Cross multiply
    418.25x = 917.75 × 917.75
  4. Step 4: Simplify right side
    418.25x = 842,265.06
  5. Step 5: Solve for x
    x = 842,265.06/418.25
  6. Step 6: Final answer
    x = 2,013.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.