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Finding the Third Proportional to 51,338 and 71,883

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Solution

The third proportional to 51,338 and 71,883 is: 100,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,338 : 71,883 = 71,883 : x
  2. Step 2: Convert to fraction form
    51,338/71,883 = 71,883/x
  3. Step 3: Cross multiply
    51,338x = 71,883 × 71,883
  4. Step 4: Simplify right side
    51,338x = 5,167,165,689
  5. Step 5: Solve for x
    x = 5,167,165,689/51,338
  6. Step 6: Final answer
    x = 100,649.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.