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Finding the Third Proportional to 143,782.13 and 311,363.25

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Solution

The third proportional to 143,782.13 and 311,363.25 is: 674,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,782.13 : 311,363.25 = 311,363.25 : x
  2. Step 2: Convert to fraction form
    143,782.13/311,363.25 = 311,363.25/x
  3. Step 3: Cross multiply
    143,782.13x = 311,363.25 × 311,363.25
  4. Step 4: Simplify right side
    143,782.13x = 96,947,073,450.56
  5. Step 5: Solve for x
    x = 96,947,073,450.56/143,782.13
  6. Step 6: Final answer
    x = 674,263.74

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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.