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Finding the Third Proportional to 306,776 and 628,422

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Solution

The third proportional to 306,776 and 628,422 is: 1,287,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,776 : 628,422 = 628,422 : x
  2. Step 2: Convert to fraction form
    306,776/628,422 = 628,422/x
  3. Step 3: Cross multiply
    306,776x = 628,422 × 628,422
  4. Step 4: Simplify right side
    306,776x = 394,914,210,084
  5. Step 5: Solve for x
    x = 394,914,210,084/306,776
  6. Step 6: Final answer
    x = 1,287,304.78

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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.