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Finding the Third Proportional to 206,812.50 and 311,450

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Solution

The third proportional to 206,812.50 and 311,450 is: 469,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.50 : 311,450 = 311,450 : x
  2. Step 2: Convert to fraction form
    206,812.50/311,450 = 311,450/x
  3. Step 3: Cross multiply
    206,812.50x = 311,450 × 311,450
  4. Step 4: Simplify right side
    206,812.50x = 97,001,102,500
  5. Step 5: Solve for x
    x = 97,001,102,500/206,812.50
  6. Step 6: Final answer
    x = 469,029.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.