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Finding the Third Proportional to 418 and 878.75

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Solution

The third proportional to 418 and 878.75 is: 1,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 878.75 = 878.75 : x
  2. Step 2: Convert to fraction form
    418/878.75 = 878.75/x
  3. Step 3: Cross multiply
    418x = 878.75 × 878.75
  4. Step 4: Simplify right side
    418x = 772,201.56
  5. Step 5: Solve for x
    x = 772,201.56/418
  6. Step 6: Final answer
    x = 1,847.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.