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Finding the Third Proportional to 247,828 and 393,846

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Solution

The third proportional to 247,828 and 393,846 is: 625,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,828 : 393,846 = 393,846 : x
  2. Step 2: Convert to fraction form
    247,828/393,846 = 393,846/x
  3. Step 3: Cross multiply
    247,828x = 393,846 × 393,846
  4. Step 4: Simplify right side
    247,828x = 155,114,671,716
  5. Step 5: Solve for x
    x = 155,114,671,716/247,828
  6. Step 6: Final answer
    x = 625,896.48

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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.