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Finding the Third Proportional to 2,919.80 and 5,167.55

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Solution

The third proportional to 2,919.80 and 5,167.55 is: 9,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.80 : 5,167.55 = 5,167.55 : x
  2. Step 2: Convert to fraction form
    2,919.80/5,167.55 = 5,167.55/x
  3. Step 3: Cross multiply
    2,919.80x = 5,167.55 × 5,167.55
  4. Step 4: Simplify right side
    2,919.80x = 26,703,540.71
  5. Step 5: Solve for x
    x = 26,703,540.71/2,919.80
  6. Step 6: Final answer
    x = 9,145.68

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.