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Finding the Third Proportional to 311,826 and 344,632

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Solution

The third proportional to 311,826 and 344,632 is: 380,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,826 : 344,632 = 344,632 : x
  2. Step 2: Convert to fraction form
    311,826/344,632 = 344,632/x
  3. Step 3: Cross multiply
    311,826x = 344,632 × 344,632
  4. Step 4: Simplify right side
    311,826x = 118,771,215,424
  5. Step 5: Solve for x
    x = 118,771,215,424/311,826
  6. Step 6: Final answer
    x = 380,889.39

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.