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Finding the Third Proportional to 301,212 and 649,079

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Solution

The third proportional to 301,212 and 649,079 is: 1,398,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,212 : 649,079 = 649,079 : x
  2. Step 2: Convert to fraction form
    301,212/649,079 = 649,079/x
  3. Step 3: Cross multiply
    301,212x = 649,079 × 649,079
  4. Step 4: Simplify right side
    301,212x = 421,303,548,241
  5. Step 5: Solve for x
    x = 421,303,548,241/301,212
  6. Step 6: Final answer
    x = 1,398,694.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.