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Finding the Third Proportional to 143,766 and 311,968

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Solution

The third proportional to 143,766 and 311,968 is: 676,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,766 : 311,968 = 311,968 : x
  2. Step 2: Convert to fraction form
    143,766/311,968 = 311,968/x
  3. Step 3: Cross multiply
    143,766x = 311,968 × 311,968
  4. Step 4: Simplify right side
    143,766x = 97,324,033,024
  5. Step 5: Solve for x
    x = 97,324,033,024/143,766
  6. Step 6: Final answer
    x = 676,961.40

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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.