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Finding the Third Proportional to 208,122.75 and 311,346.38

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Solution

The third proportional to 208,122.75 and 311,346.38 is: 465,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,122.75 : 311,346.38 = 311,346.38 : x
  2. Step 2: Convert to fraction form
    208,122.75/311,346.38 = 311,346.38/x
  3. Step 3: Cross multiply
    208,122.75x = 311,346.38 × 311,346.38
  4. Step 4: Simplify right side
    208,122.75x = 96,936,565,225.64
  5. Step 5: Solve for x
    x = 96,936,565,225.64/208,122.75
  6. Step 6: Final answer
    x = 465,766.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.