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Finding the Third Proportional to 513 and 767.81

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Solution

The third proportional to 513 and 767.81 is: 1,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 767.81 = 767.81 : x
  2. Step 2: Convert to fraction form
    513/767.81 = 767.81/x
  3. Step 3: Cross multiply
    513x = 767.81 × 767.81
  4. Step 4: Simplify right side
    513x = 589,536.04
  5. Step 5: Solve for x
    x = 589,536.04/513
  6. Step 6: Final answer
    x = 1,149.19

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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.