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Finding the Third Proportional to 219,522 and 331,015

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Solution

The third proportional to 219,522 and 331,015 is: 499,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,522 : 331,015 = 331,015 : x
  2. Step 2: Convert to fraction form
    219,522/331,015 = 331,015/x
  3. Step 3: Cross multiply
    219,522x = 331,015 × 331,015
  4. Step 4: Simplify right side
    219,522x = 109,570,930,225
  5. Step 5: Solve for x
    x = 109,570,930,225/219,522
  6. Step 6: Final answer
    x = 499,134.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.