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Finding the Third Proportional to 285,908 and 627,868

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Solution

The third proportional to 285,908 and 627,868 is: 1,378,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,908 : 627,868 = 627,868 : x
  2. Step 2: Convert to fraction form
    285,908/627,868 = 627,868/x
  3. Step 3: Cross multiply
    285,908x = 627,868 × 627,868
  4. Step 4: Simplify right side
    285,908x = 394,218,225,424
  5. Step 5: Solve for x
    x = 394,218,225,424/285,908
  6. Step 6: Final answer
    x = 1,378,828.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.