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Finding the Third Proportional to 102,920 and 219,662

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Solution

The third proportional to 102,920 and 219,662 is: 468,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920 : 219,662 = 219,662 : x
  2. Step 2: Convert to fraction form
    102,920/219,662 = 219,662/x
  3. Step 3: Cross multiply
    102,920x = 219,662 × 219,662
  4. Step 4: Simplify right side
    102,920x = 48,251,394,244
  5. Step 5: Solve for x
    x = 48,251,394,244/102,920
  6. Step 6: Final answer
    x = 468,824.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.