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Finding the Third Proportional to 221,134.50 and 331,354.13

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Solution

The third proportional to 221,134.50 and 331,354.13 is: 496,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,134.50 : 331,354.13 = 331,354.13 : x
  2. Step 2: Convert to fraction form
    221,134.50/331,354.13 = 331,354.13/x
  3. Step 3: Cross multiply
    221,134.50x = 331,354.13 × 331,354.13
  4. Step 4: Simplify right side
    221,134.50x = 109,795,556,154.52
  5. Step 5: Solve for x
    x = 109,795,556,154.52/221,134.50
  6. Step 6: Final answer
    x = 496,510.30

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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.