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Finding the Third Proportional to 306,993 and 629,202

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Solution

The third proportional to 306,993 and 629,202 is: 1,289,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,993 : 629,202 = 629,202 : x
  2. Step 2: Convert to fraction form
    306,993/629,202 = 629,202/x
  3. Step 3: Cross multiply
    306,993x = 629,202 × 629,202
  4. Step 4: Simplify right side
    306,993x = 395,895,156,804
  5. Step 5: Solve for x
    x = 395,895,156,804/306,993
  6. Step 6: Final answer
    x = 1,289,590.18

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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.