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Finding the Third Proportional to 268,660 and 399,232

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Solution

The third proportional to 268,660 and 399,232 is: 593,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,660 : 399,232 = 399,232 : x
  2. Step 2: Convert to fraction form
    268,660/399,232 = 399,232/x
  3. Step 3: Cross multiply
    268,660x = 399,232 × 399,232
  4. Step 4: Simplify right side
    268,660x = 159,386,189,824
  5. Step 5: Solve for x
    x = 159,386,189,824/268,660
  6. Step 6: Final answer
    x = 593,263.57

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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.