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Finding the Third Proportional to 309,206 and 668,884

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Solution

The third proportional to 309,206 and 668,884 is: 1,446,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,206 : 668,884 = 668,884 : x
  2. Step 2: Convert to fraction form
    309,206/668,884 = 668,884/x
  3. Step 3: Cross multiply
    309,206x = 668,884 × 668,884
  4. Step 4: Simplify right side
    309,206x = 447,405,805,456
  5. Step 5: Solve for x
    x = 447,405,805,456/309,206
  6. Step 6: Final answer
    x = 1,446,950.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.