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Finding the Third Proportional to 268,664 and 399,238

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Solution

The third proportional to 268,664 and 399,238 is: 593,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,664 : 399,238 = 399,238 : x
  2. Step 2: Convert to fraction form
    268,664/399,238 = 399,238/x
  3. Step 3: Cross multiply
    268,664x = 399,238 × 399,238
  4. Step 4: Simplify right side
    268,664x = 159,390,980,644
  5. Step 5: Solve for x
    x = 159,390,980,644/268,664
  6. Step 6: Final answer
    x = 593,272.57

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Why These Related Problems?

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