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Finding the Third Proportional to 515.78 and 1,134.08

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Solution

The third proportional to 515.78 and 1,134.08 is: 2,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.78 : 1,134.08 = 1,134.08 : x
  2. Step 2: Convert to fraction form
    515.78/1,134.08 = 1,134.08/x
  3. Step 3: Cross multiply
    515.78x = 1,134.08 × 1,134.08
  4. Step 4: Simplify right side
    515.78x = 1,286,135.41
  5. Step 5: Solve for x
    x = 1,286,135.41/515.78
  6. Step 6: Final answer
    x = 2,493.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.