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Finding the Third Proportional to 104,218 and 219,919

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Solution

The third proportional to 104,218 and 219,919 is: 464,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,218 : 219,919 = 219,919 : x
  2. Step 2: Convert to fraction form
    104,218/219,919 = 219,919/x
  3. Step 3: Cross multiply
    104,218x = 219,919 × 219,919
  4. Step 4: Simplify right side
    104,218x = 48,364,366,561
  5. Step 5: Solve for x
    x = 48,364,366,561/104,218
  6. Step 6: Final answer
    x = 464,069.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.