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Finding the Third Proportional to 315,998 and 447,126

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Solution

The third proportional to 315,998 and 447,126 is: 632,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,998 : 447,126 = 447,126 : x
  2. Step 2: Convert to fraction form
    315,998/447,126 = 447,126/x
  3. Step 3: Cross multiply
    315,998x = 447,126 × 447,126
  4. Step 4: Simplify right side
    315,998x = 199,921,659,876
  5. Step 5: Solve for x
    x = 199,921,659,876/315,998
  6. Step 6: Final answer
    x = 632,667.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.