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Finding the Third Proportional to 513.38 and 687

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Solution

The third proportional to 513.38 and 687 is: 919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 687 = 687 : x
  2. Step 2: Convert to fraction form
    513.38/687 = 687/x
  3. Step 3: Cross multiply
    513.38x = 687 × 687
  4. Step 4: Simplify right side
    513.38x = 471,969
  5. Step 5: Solve for x
    x = 471,969/513.38
  6. Step 6: Final answer
    x = 919.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.