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Finding the Third Proportional to 90,772 and 219,636

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Solution

The third proportional to 90,772 and 219,636 is: 531,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,772 : 219,636 = 219,636 : x
  2. Step 2: Convert to fraction form
    90,772/219,636 = 219,636/x
  3. Step 3: Cross multiply
    90,772x = 219,636 × 219,636
  4. Step 4: Simplify right side
    90,772x = 48,239,972,496
  5. Step 5: Solve for x
    x = 48,239,972,496/90,772
  6. Step 6: Final answer
    x = 531,441.11

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.