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Finding the Third Proportional to 144,550.50 and 222,462

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Solution

The third proportional to 144,550.50 and 222,462 is: 342,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,550.50 : 222,462 = 222,462 : x
  2. Step 2: Convert to fraction form
    144,550.50/222,462 = 222,462/x
  3. Step 3: Cross multiply
    144,550.50x = 222,462 × 222,462
  4. Step 4: Simplify right side
    144,550.50x = 49,489,341,444
  5. Step 5: Solve for x
    x = 49,489,341,444/144,550.50
  6. Step 6: Final answer
    x = 342,367.14

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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.