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Finding the Third Proportional to 513.81 and 767.69

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Solution

The third proportional to 513.81 and 767.69 is: 1,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 767.69 = 767.69 : x
  2. Step 2: Convert to fraction form
    513.81/767.69 = 767.69/x
  3. Step 3: Cross multiply
    513.81x = 767.69 × 767.69
  4. Step 4: Simplify right side
    513.81x = 589,344.10
  5. Step 5: Solve for x
    x = 589,344.10/513.81
  6. Step 6: Final answer
    x = 1,147.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.