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Finding the Third Proportional to 221,135.25 and 331,354.50

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Solution

The third proportional to 221,135.25 and 331,354.50 is: 496,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,135.25 : 331,354.50 = 331,354.50 : x
  2. Step 2: Convert to fraction form
    221,135.25/331,354.50 = 331,354.50/x
  3. Step 3: Cross multiply
    221,135.25x = 331,354.50 × 331,354.50
  4. Step 4: Simplify right side
    221,135.25x = 109,795,804,670.25
  5. Step 5: Solve for x
    x = 109,795,804,670.25/221,135.25
  6. Step 6: Final answer
    x = 496,509.74

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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.