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Finding the Third Proportional to 101,979 and 218,713

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Solution

The third proportional to 101,979 and 218,713 is: 469,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,979 : 218,713 = 218,713 : x
  2. Step 2: Convert to fraction form
    101,979/218,713 = 218,713/x
  3. Step 3: Cross multiply
    101,979x = 218,713 × 218,713
  4. Step 4: Simplify right side
    101,979x = 47,835,376,369
  5. Step 5: Solve for x
    x = 47,835,376,369/101,979
  6. Step 6: Final answer
    x = 469,070.85

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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.