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Finding the Third Proportional to 206,052 and 311,968

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Solution

The third proportional to 206,052 and 311,968 is: 472,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,052 : 311,968 = 311,968 : x
  2. Step 2: Convert to fraction form
    206,052/311,968 = 311,968/x
  3. Step 3: Cross multiply
    206,052x = 311,968 × 311,968
  4. Step 4: Simplify right side
    206,052x = 97,324,033,024
  5. Step 5: Solve for x
    x = 97,324,033,024/206,052
  6. Step 6: Final answer
    x = 472,327.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.