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Finding the Third Proportional to 102,272 and 218,759

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Solution

The third proportional to 102,272 and 218,759 is: 467,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,272 : 218,759 = 218,759 : x
  2. Step 2: Convert to fraction form
    102,272/218,759 = 218,759/x
  3. Step 3: Cross multiply
    102,272x = 218,759 × 218,759
  4. Step 4: Simplify right side
    102,272x = 47,855,500,081
  5. Step 5: Solve for x
    x = 47,855,500,081/102,272
  6. Step 6: Final answer
    x = 467,923.77

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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.