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Finding the Third Proportional to 39,880 and 83,891

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Solution

The third proportional to 39,880 and 83,891 is: 176,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,880 : 83,891 = 83,891 : x
  2. Step 2: Convert to fraction form
    39,880/83,891 = 83,891/x
  3. Step 3: Cross multiply
    39,880x = 83,891 × 83,891
  4. Step 4: Simplify right side
    39,880x = 7,037,699,881
  5. Step 5: Solve for x
    x = 7,037,699,881/39,880
  6. Step 6: Final answer
    x = 176,471.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.