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Finding the Third Proportional to 143,821.50 and 311,448

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Solution

The third proportional to 143,821.50 and 311,448 is: 674,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,821.50 : 311,448 = 311,448 : x
  2. Step 2: Convert to fraction form
    143,821.50/311,448 = 311,448/x
  3. Step 3: Cross multiply
    143,821.50x = 311,448 × 311,448
  4. Step 4: Simplify right side
    143,821.50x = 96,999,856,704
  5. Step 5: Solve for x
    x = 96,999,856,704/143,821.50
  6. Step 6: Final answer
    x = 674,446.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.