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Finding the Third Proportional to 1,919.25 and 2,878.88

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Solution

The third proportional to 1,919.25 and 2,878.88 is: 4,318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.25 : 2,878.88 = 2,878.88 : x
  2. Step 2: Convert to fraction form
    1,919.25/2,878.88 = 2,878.88/x
  3. Step 3: Cross multiply
    1,919.25x = 2,878.88 × 2,878.88
  4. Step 4: Simplify right side
    1,919.25x = 8,287,921.27
  5. Step 5: Solve for x
    x = 8,287,921.27/1,919.25
  6. Step 6: Final answer
    x = 4,318.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.