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Finding the Third Proportional to 51,375 and 76,716

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Solution

The third proportional to 51,375 and 76,716 is: 114,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,375 : 76,716 = 76,716 : x
  2. Step 2: Convert to fraction form
    51,375/76,716 = 76,716/x
  3. Step 3: Cross multiply
    51,375x = 76,716 × 76,716
  4. Step 4: Simplify right side
    51,375x = 5,885,344,656
  5. Step 5: Solve for x
    x = 5,885,344,656/51,375
  6. Step 6: Final answer
    x = 114,556.59

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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.