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Finding the Third Proportional to 250,678 and 388,342

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Solution

The third proportional to 250,678 and 388,342 is: 601,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,678 : 388,342 = 388,342 : x
  2. Step 2: Convert to fraction form
    250,678/388,342 = 388,342/x
  3. Step 3: Cross multiply
    250,678x = 388,342 × 388,342
  4. Step 4: Simplify right side
    250,678x = 150,809,508,964
  5. Step 5: Solve for x
    x = 150,809,508,964/250,678
  6. Step 6: Final answer
    x = 601,606.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.