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Finding the Third Proportional to 306,742 and 628,357

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Solution

The third proportional to 306,742 and 628,357 is: 1,287,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,742 : 628,357 = 628,357 : x
  2. Step 2: Convert to fraction form
    306,742/628,357 = 628,357/x
  3. Step 3: Cross multiply
    306,742x = 628,357 × 628,357
  4. Step 4: Simplify right side
    306,742x = 394,832,519,449
  5. Step 5: Solve for x
    x = 394,832,519,449/306,742
  6. Step 6: Final answer
    x = 1,287,181.15

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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.