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Finding the Third Proportional to 144,403.50 and 222,249

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Solution

The third proportional to 144,403.50 and 222,249 is: 342,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,403.50 : 222,249 = 222,249 : x
  2. Step 2: Convert to fraction form
    144,403.50/222,249 = 222,249/x
  3. Step 3: Cross multiply
    144,403.50x = 222,249 × 222,249
  4. Step 4: Simplify right side
    144,403.50x = 49,394,618,001
  5. Step 5: Solve for x
    x = 49,394,618,001/144,403.50
  6. Step 6: Final answer
    x = 342,059.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.