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Finding the Third Proportional to 306,746 and 628,366

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Solution

The third proportional to 306,746 and 628,366 is: 1,287,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,746 : 628,366 = 628,366 : x
  2. Step 2: Convert to fraction form
    306,746/628,366 = 628,366/x
  3. Step 3: Cross multiply
    306,746x = 628,366 × 628,366
  4. Step 4: Simplify right side
    306,746x = 394,843,829,956
  5. Step 5: Solve for x
    x = 394,843,829,956/306,746
  6. Step 6: Final answer
    x = 1,287,201.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.