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Finding the Third Proportional to 247,016 and 393,368

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Solution

The third proportional to 247,016 and 393,368 is: 626,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,016 : 393,368 = 393,368 : x
  2. Step 2: Convert to fraction form
    247,016/393,368 = 393,368/x
  3. Step 3: Cross multiply
    247,016x = 393,368 × 393,368
  4. Step 4: Simplify right side
    247,016x = 154,738,383,424
  5. Step 5: Solve for x
    x = 154,738,383,424/247,016
  6. Step 6: Final answer
    x = 626,430.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.