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Finding the Third Proportional to 302,690 and 664,420

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Solution

The third proportional to 302,690 and 664,420 is: 1,458,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,690 : 664,420 = 664,420 : x
  2. Step 2: Convert to fraction form
    302,690/664,420 = 664,420/x
  3. Step 3: Cross multiply
    302,690x = 664,420 × 664,420
  4. Step 4: Simplify right side
    302,690x = 441,453,936,400
  5. Step 5: Solve for x
    x = 441,453,936,400/302,690
  6. Step 6: Final answer
    x = 1,458,435.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.