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Finding the Third Proportional to 305,104 and 656,126

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Solution

The third proportional to 305,104 and 656,126 is: 1,410,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,104 : 656,126 = 656,126 : x
  2. Step 2: Convert to fraction form
    305,104/656,126 = 656,126/x
  3. Step 3: Cross multiply
    305,104x = 656,126 × 656,126
  4. Step 4: Simplify right side
    305,104x = 430,501,327,876
  5. Step 5: Solve for x
    x = 430,501,327,876/305,104
  6. Step 6: Final answer
    x = 1,410,998.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.