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Finding the Third Proportional to 219,211 and 328,815

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Solution

The third proportional to 219,211 and 328,815 is: 493,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,211 : 328,815 = 328,815 : x
  2. Step 2: Convert to fraction form
    219,211/328,815 = 328,815/x
  3. Step 3: Cross multiply
    219,211x = 328,815 × 328,815
  4. Step 4: Simplify right side
    219,211x = 108,119,304,225
  5. Step 5: Solve for x
    x = 108,119,304,225/219,211
  6. Step 6: Final answer
    x = 493,220.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.