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Finding the Third Proportional to 193,101.75 and 288,555.75

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Solution

The third proportional to 193,101.75 and 288,555.75 is: 431,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,101.75 : 288,555.75 = 288,555.75 : x
  2. Step 2: Convert to fraction form
    193,101.75/288,555.75 = 288,555.75/x
  3. Step 3: Cross multiply
    193,101.75x = 288,555.75 × 288,555.75
  4. Step 4: Simplify right side
    193,101.75x = 83,264,420,858.06
  5. Step 5: Solve for x
    x = 83,264,420,858.06/193,101.75
  6. Step 6: Final answer
    x = 431,194.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.