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Finding the Third Proportional to 275,400 and 603,216

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Solution

The third proportional to 275,400 and 603,216 is: 1,321,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,400 : 603,216 = 603,216 : x
  2. Step 2: Convert to fraction form
    275,400/603,216 = 603,216/x
  3. Step 3: Cross multiply
    275,400x = 603,216 × 603,216
  4. Step 4: Simplify right side
    275,400x = 363,869,542,656
  5. Step 5: Solve for x
    x = 363,869,542,656/275,400
  6. Step 6: Final answer
    x = 1,321,240.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.