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Finding the Third Proportional to 221,143.50 and 331,365

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Solution

The third proportional to 221,143.50 and 331,365 is: 496,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,143.50 : 331,365 = 331,365 : x
  2. Step 2: Convert to fraction form
    221,143.50/331,365 = 331,365/x
  3. Step 3: Cross multiply
    221,143.50x = 331,365 × 331,365
  4. Step 4: Simplify right side
    221,143.50x = 109,802,763,225
  5. Step 5: Solve for x
    x = 109,802,763,225/221,143.50
  6. Step 6: Final answer
    x = 496,522.68

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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.