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Finding the Third Proportional to 47,905 and 100,771

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Solution

The third proportional to 47,905 and 100,771 is: 211,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,905 : 100,771 = 100,771 : x
  2. Step 2: Convert to fraction form
    47,905/100,771 = 100,771/x
  3. Step 3: Cross multiply
    47,905x = 100,771 × 100,771
  4. Step 4: Simplify right side
    47,905x = 10,154,794,441
  5. Step 5: Solve for x
    x = 10,154,794,441/47,905
  6. Step 6: Final answer
    x = 211,977.76

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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.