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Finding the Third Proportional to 515.11 and 1,145.39

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Solution

The third proportional to 515.11 and 1,145.39 is: 2,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.11 : 1,145.39 = 1,145.39 : x
  2. Step 2: Convert to fraction form
    515.11/1,145.39 = 1,145.39/x
  3. Step 3: Cross multiply
    515.11x = 1,145.39 × 1,145.39
  4. Step 4: Simplify right side
    515.11x = 1,311,919.68
  5. Step 5: Solve for x
    x = 1,311,919.68/515.11
  6. Step 6: Final answer
    x = 2,546.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.