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Finding the Third Proportional to 190,856 and 279,704

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Solution

The third proportional to 190,856 and 279,704 is: 409,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,856 : 279,704 = 279,704 : x
  2. Step 2: Convert to fraction form
    190,856/279,704 = 279,704/x
  3. Step 3: Cross multiply
    190,856x = 279,704 × 279,704
  4. Step 4: Simplify right side
    190,856x = 78,234,327,616
  5. Step 5: Solve for x
    x = 78,234,327,616/190,856
  6. Step 6: Final answer
    x = 409,912.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.