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Finding the Third Proportional to 203,616 and 309,744

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Solution

The third proportional to 203,616 and 309,744 is: 471,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616 : 309,744 = 309,744 : x
  2. Step 2: Convert to fraction form
    203,616/309,744 = 309,744/x
  3. Step 3: Cross multiply
    203,616x = 309,744 × 309,744
  4. Step 4: Simplify right side
    203,616x = 95,941,345,536
  5. Step 5: Solve for x
    x = 95,941,345,536/203,616
  6. Step 6: Final answer
    x = 471,187.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.