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Finding the Third Proportional to 101,279 and 218,259

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Solution

The third proportional to 101,279 and 218,259 is: 470,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,279 : 218,259 = 218,259 : x
  2. Step 2: Convert to fraction form
    101,279/218,259 = 218,259/x
  3. Step 3: Cross multiply
    101,279x = 218,259 × 218,259
  4. Step 4: Simplify right side
    101,279x = 47,636,991,081
  5. Step 5: Solve for x
    x = 47,636,991,081/101,279
  6. Step 6: Final answer
    x = 470,354.08

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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.