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Finding the Third Proportional to 221,135 and 331,355

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Solution

The third proportional to 221,135 and 331,355 is: 496,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,135 : 331,355 = 331,355 : x
  2. Step 2: Convert to fraction form
    221,135/331,355 = 331,355/x
  3. Step 3: Cross multiply
    221,135x = 331,355 × 331,355
  4. Step 4: Simplify right side
    221,135x = 109,796,136,025
  5. Step 5: Solve for x
    x = 109,796,136,025/221,135
  6. Step 6: Final answer
    x = 496,511.80

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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.