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Finding the Third Proportional to 275,400 and 604,908

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Solution

The third proportional to 275,400 and 604,908 is: 1,328,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,400 : 604,908 = 604,908 : x
  2. Step 2: Convert to fraction form
    275,400/604,908 = 604,908/x
  3. Step 3: Cross multiply
    275,400x = 604,908 × 604,908
  4. Step 4: Simplify right side
    275,400x = 365,913,688,464
  5. Step 5: Solve for x
    x = 365,913,688,464/275,400
  6. Step 6: Final answer
    x = 1,328,662.63

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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.