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Finding the Third Proportional to 511.75 and 775.38

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Solution

The third proportional to 511.75 and 775.38 is: 1,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 775.38 = 775.38 : x
  2. Step 2: Convert to fraction form
    511.75/775.38 = 775.38/x
  3. Step 3: Cross multiply
    511.75x = 775.38 × 775.38
  4. Step 4: Simplify right side
    511.75x = 601,206.39
  5. Step 5: Solve for x
    x = 601,206.39/511.75
  6. Step 6: Final answer
    x = 1,174.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.