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Finding the Third Proportional to 47,709 and 101,979

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Solution

The third proportional to 47,709 and 101,979 is: 217,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709 : 101,979 = 101,979 : x
  2. Step 2: Convert to fraction form
    47,709/101,979 = 101,979/x
  3. Step 3: Cross multiply
    47,709x = 101,979 × 101,979
  4. Step 4: Simplify right side
    47,709x = 10,399,716,441
  5. Step 5: Solve for x
    x = 10,399,716,441/47,709
  6. Step 6: Final answer
    x = 217,982.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.