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Finding the Third Proportional to 321,405 and 613,647

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Solution

The third proportional to 321,405 and 613,647 is: 1,171,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,405 : 613,647 = 613,647 : x
  2. Step 2: Convert to fraction form
    321,405/613,647 = 613,647/x
  3. Step 3: Cross multiply
    321,405x = 613,647 × 613,647
  4. Step 4: Simplify right side
    321,405x = 376,562,640,609
  5. Step 5: Solve for x
    x = 376,562,640,609/321,405
  6. Step 6: Final answer
    x = 1,171,614.13

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.