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Finding the Third Proportional to 39,805 and 83,930

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Solution

The third proportional to 39,805 and 83,930 is: 176,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,805 : 83,930 = 83,930 : x
  2. Step 2: Convert to fraction form
    39,805/83,930 = 83,930/x
  3. Step 3: Cross multiply
    39,805x = 83,930 × 83,930
  4. Step 4: Simplify right side
    39,805x = 7,044,244,900
  5. Step 5: Solve for x
    x = 7,044,244,900/39,805
  6. Step 6: Final answer
    x = 176,968.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.