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Finding the Third Proportional to 143,233 and 311,954

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Solution

The third proportional to 143,233 and 311,954 is: 679,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,233 : 311,954 = 311,954 : x
  2. Step 2: Convert to fraction form
    143,233/311,954 = 311,954/x
  3. Step 3: Cross multiply
    143,233x = 311,954 × 311,954
  4. Step 4: Simplify right side
    143,233x = 97,315,298,116
  5. Step 5: Solve for x
    x = 97,315,298,116/143,233
  6. Step 6: Final answer
    x = 679,419.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.