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Finding the Third Proportional to 39,896 and 51,764

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Solution

The third proportional to 39,896 and 51,764 is: 67,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,896 : 51,764 = 51,764 : x
  2. Step 2: Convert to fraction form
    39,896/51,764 = 51,764/x
  3. Step 3: Cross multiply
    39,896x = 51,764 × 51,764
  4. Step 4: Simplify right side
    39,896x = 2,679,511,696
  5. Step 5: Solve for x
    x = 2,679,511,696/39,896
  6. Step 6: Final answer
    x = 67,162.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.