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Finding the Third Proportional to 221,190 and 331,785

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Solution

The third proportional to 221,190 and 331,785 is: 497,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,190 : 331,785 = 331,785 : x
  2. Step 2: Convert to fraction form
    221,190/331,785 = 331,785/x
  3. Step 3: Cross multiply
    221,190x = 331,785 × 331,785
  4. Step 4: Simplify right side
    221,190x = 110,081,286,225
  5. Step 5: Solve for x
    x = 110,081,286,225/221,190
  6. Step 6: Final answer
    x = 497,677.50

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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.