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Finding the Third Proportional to 302,478 and 654,204

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Solution

The third proportional to 302,478 and 654,204 is: 1,414,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,478 : 654,204 = 654,204 : x
  2. Step 2: Convert to fraction form
    302,478/654,204 = 654,204/x
  3. Step 3: Cross multiply
    302,478x = 654,204 × 654,204
  4. Step 4: Simplify right side
    302,478x = 427,982,873,616
  5. Step 5: Solve for x
    x = 427,982,873,616/302,478
  6. Step 6: Final answer
    x = 1,414,922.32

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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.