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Finding the Third Proportional to 101,309 and 219,790

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Solution

The third proportional to 101,309 and 219,790 is: 476,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,309 : 219,790 = 219,790 : x
  2. Step 2: Convert to fraction form
    101,309/219,790 = 219,790/x
  3. Step 3: Cross multiply
    101,309x = 219,790 × 219,790
  4. Step 4: Simplify right side
    101,309x = 48,307,644,100
  5. Step 5: Solve for x
    x = 48,307,644,100/101,309
  6. Step 6: Final answer
    x = 476,834.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.