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Finding the Third Proportional to 300,680 and 699,202

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Solution

The third proportional to 300,680 and 699,202 is: 1,625,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,680 : 699,202 = 699,202 : x
  2. Step 2: Convert to fraction form
    300,680/699,202 = 699,202/x
  3. Step 3: Cross multiply
    300,680x = 699,202 × 699,202
  4. Step 4: Simplify right side
    300,680x = 488,883,436,804
  5. Step 5: Solve for x
    x = 488,883,436,804/300,680
  6. Step 6: Final answer
    x = 1,625,926.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.