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Finding the Third Proportional to 315,198 and 471,684

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Solution

The third proportional to 315,198 and 471,684 is: 705,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,198 : 471,684 = 471,684 : x
  2. Step 2: Convert to fraction form
    315,198/471,684 = 471,684/x
  3. Step 3: Cross multiply
    315,198x = 471,684 × 471,684
  4. Step 4: Simplify right side
    315,198x = 222,485,795,856
  5. Step 5: Solve for x
    x = 222,485,795,856/315,198
  6. Step 6: Final answer
    x = 705,860.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.