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Finding the Third Proportional to 321,420 and 613,668

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Solution

The third proportional to 321,420 and 613,668 is: 1,171,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,420 : 613,668 = 613,668 : x
  2. Step 2: Convert to fraction form
    321,420/613,668 = 613,668/x
  3. Step 3: Cross multiply
    321,420x = 613,668 × 613,668
  4. Step 4: Simplify right side
    321,420x = 376,588,414,224
  5. Step 5: Solve for x
    x = 376,588,414,224/321,420
  6. Step 6: Final answer
    x = 1,171,639.64

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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.