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Finding the Third Proportional to 221,208.75 and 333,625.50

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Solution

The third proportional to 221,208.75 and 333,625.50 is: 503,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,208.75 : 333,625.50 = 333,625.50 : x
  2. Step 2: Convert to fraction form
    221,208.75/333,625.50 = 333,625.50/x
  3. Step 3: Cross multiply
    221,208.75x = 333,625.50 × 333,625.50
  4. Step 4: Simplify right side
    221,208.75x = 111,305,974,250.25
  5. Step 5: Solve for x
    x = 111,305,974,250.25/221,208.75
  6. Step 6: Final answer
    x = 503,171.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.