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Finding the Third Proportional to 101,189 and 217,686

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Solution

The third proportional to 101,189 and 217,686 is: 468,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,189 : 217,686 = 217,686 : x
  2. Step 2: Convert to fraction form
    101,189/217,686 = 217,686/x
  3. Step 3: Cross multiply
    101,189x = 217,686 × 217,686
  4. Step 4: Simplify right side
    101,189x = 47,387,194,596
  5. Step 5: Solve for x
    x = 47,387,194,596/101,189
  6. Step 6: Final answer
    x = 468,303.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.