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Finding the Third Proportional to 392,219.50 and 856,367.50

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Solution

The third proportional to 392,219.50 and 856,367.50 is: 1,869,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,219.50 : 856,367.50 = 856,367.50 : x
  2. Step 2: Convert to fraction form
    392,219.50/856,367.50 = 856,367.50/x
  3. Step 3: Cross multiply
    392,219.50x = 856,367.50 × 856,367.50
  4. Step 4: Simplify right side
    392,219.50x = 733,365,295,056.25
  5. Step 5: Solve for x
    x = 733,365,295,056.25/392,219.50
  6. Step 6: Final answer
    x = 1,869,782.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.