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Finding the Third Proportional to 268,067.06 and 408,389.63

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Solution

The third proportional to 268,067.06 and 408,389.63 is: 622,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,067.06 : 408,389.63 = 408,389.63 : x
  2. Step 2: Convert to fraction form
    268,067.06/408,389.63 = 408,389.63/x
  3. Step 3: Cross multiply
    268,067.06x = 408,389.63 × 408,389.63
  4. Step 4: Simplify right side
    268,067.06x = 166,782,085,807.64
  5. Step 5: Solve for x
    x = 166,782,085,807.64/268,067.06
  6. Step 6: Final answer
    x = 622,165.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.