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Finding the Third Proportional to 141,719 and 311,082.75

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Solution

The third proportional to 141,719 and 311,082.75 is: 682,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,719 : 311,082.75 = 311,082.75 : x
  2. Step 2: Convert to fraction form
    141,719/311,082.75 = 311,082.75/x
  3. Step 3: Cross multiply
    141,719x = 311,082.75 × 311,082.75
  4. Step 4: Simplify right side
    141,719x = 96,772,477,347.56
  5. Step 5: Solve for x
    x = 96,772,477,347.56/141,719
  6. Step 6: Final answer
    x = 682,847.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.