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Finding the Third Proportional to 311,854.50 and 656,309.25

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Solution

The third proportional to 311,854.50 and 656,309.25 is: 1,381,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,854.50 : 656,309.25 = 656,309.25 : x
  2. Step 2: Convert to fraction form
    311,854.50/656,309.25 = 656,309.25/x
  3. Step 3: Cross multiply
    311,854.50x = 656,309.25 × 656,309.25
  4. Step 4: Simplify right side
    311,854.50x = 430,741,831,635.56
  5. Step 5: Solve for x
    x = 430,741,831,635.56/311,854.50
  6. Step 6: Final answer
    x = 1,381,226.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.