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Finding the Third Proportional to 677.25 and 919.88

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Solution

The third proportional to 677.25 and 919.88 is: 1,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.25 : 919.88 = 919.88 : x
  2. Step 2: Convert to fraction form
    677.25/919.88 = 919.88/x
  3. Step 3: Cross multiply
    677.25x = 919.88 × 919.88
  4. Step 4: Simplify right side
    677.25x = 846,170.02
  5. Step 5: Solve for x
    x = 846,170.02/677.25
  6. Step 6: Final answer
    x = 1,249.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.