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Finding the Third Proportional to 511.75 and 686.38

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Solution

The third proportional to 511.75 and 686.38 is: 920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 686.38 = 686.38 : x
  2. Step 2: Convert to fraction form
    511.75/686.38 = 686.38/x
  3. Step 3: Cross multiply
    511.75x = 686.38 × 686.38
  4. Step 4: Simplify right side
    511.75x = 471,110.64
  5. Step 5: Solve for x
    x = 471,110.64/511.75
  6. Step 6: Final answer
    x = 920.59

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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.