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Finding the Third Proportional to 143,821.50 and 306,096

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Solution

The third proportional to 143,821.50 and 306,096 is: 651,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,821.50 : 306,096 = 306,096 : x
  2. Step 2: Convert to fraction form
    143,821.50/306,096 = 306,096/x
  3. Step 3: Cross multiply
    143,821.50x = 306,096 × 306,096
  4. Step 4: Simplify right side
    143,821.50x = 93,694,761,216
  5. Step 5: Solve for x
    x = 93,694,761,216/143,821.50
  6. Step 6: Final answer
    x = 651,465.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.