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Finding the Third Proportional to 381,516.75 and 805,558.50

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Solution

The third proportional to 381,516.75 and 805,558.50 is: 1,700,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,516.75 : 805,558.50 = 805,558.50 : x
  2. Step 2: Convert to fraction form
    381,516.75/805,558.50 = 805,558.50/x
  3. Step 3: Cross multiply
    381,516.75x = 805,558.50 × 805,558.50
  4. Step 4: Simplify right side
    381,516.75x = 648,924,496,922.25
  5. Step 5: Solve for x
    x = 648,924,496,922.25/381,516.75
  6. Step 6: Final answer
    x = 1,700,906.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.