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Finding the Third Proportional to 101,311 and 218,331

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Solution

The third proportional to 101,311 and 218,331 is: 470,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,311 : 218,331 = 218,331 : x
  2. Step 2: Convert to fraction form
    101,311/218,331 = 218,331/x
  3. Step 3: Cross multiply
    101,311x = 218,331 × 218,331
  4. Step 4: Simplify right side
    101,311x = 47,668,425,561
  5. Step 5: Solve for x
    x = 47,668,425,561/101,311
  6. Step 6: Final answer
    x = 470,515.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.