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Finding the Third Proportional to 513.88 and 1,109.81

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Solution

The third proportional to 513.88 and 1,109.81 is: 2,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.88 : 1,109.81 = 1,109.81 : x
  2. Step 2: Convert to fraction form
    513.88/1,109.81 = 1,109.81/x
  3. Step 3: Cross multiply
    513.88x = 1,109.81 × 1,109.81
  4. Step 4: Simplify right side
    513.88x = 1,231,683.79
  5. Step 5: Solve for x
    x = 1,231,683.79/513.88
  6. Step 6: Final answer
    x = 2,396.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.