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Finding the Third Proportional to 247,362 and 398,277

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Solution

The third proportional to 247,362 and 398,277 is: 641,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,362 : 398,277 = 398,277 : x
  2. Step 2: Convert to fraction form
    247,362/398,277 = 398,277/x
  3. Step 3: Cross multiply
    247,362x = 398,277 × 398,277
  4. Step 4: Simplify right side
    247,362x = 158,624,568,729
  5. Step 5: Solve for x
    x = 158,624,568,729/247,362
  6. Step 6: Final answer
    x = 641,264.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.