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Finding the Third Proportional to 133,329.75 and 220,218

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Solution

The third proportional to 133,329.75 and 220,218 is: 363,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,329.75 : 220,218 = 220,218 : x
  2. Step 2: Convert to fraction form
    133,329.75/220,218 = 220,218/x
  3. Step 3: Cross multiply
    133,329.75x = 220,218 × 220,218
  4. Step 4: Simplify right side
    133,329.75x = 48,495,967,524
  5. Step 5: Solve for x
    x = 48,495,967,524/133,329.75
  6. Step 6: Final answer
    x = 363,729.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.