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Finding the Third Proportional to 306,747 and 628,367

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Solution

The third proportional to 306,747 and 628,367 is: 1,287,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,747 : 628,367 = 628,367 : x
  2. Step 2: Convert to fraction form
    306,747/628,367 = 628,367/x
  3. Step 3: Cross multiply
    306,747x = 628,367 × 628,367
  4. Step 4: Simplify right side
    306,747x = 394,845,086,689
  5. Step 5: Solve for x
    x = 394,845,086,689/306,747
  6. Step 6: Final answer
    x = 1,287,201.14

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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.