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Finding the Third Proportional to 207,768 and 311,892

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Solution

The third proportional to 207,768 and 311,892 is: 468,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,768 : 311,892 = 311,892 : x
  2. Step 2: Convert to fraction form
    207,768/311,892 = 311,892/x
  3. Step 3: Cross multiply
    207,768x = 311,892 × 311,892
  4. Step 4: Simplify right side
    207,768x = 97,276,619,664
  5. Step 5: Solve for x
    x = 97,276,619,664/207,768
  6. Step 6: Final answer
    x = 468,198.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.