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Finding the Third Proportional to 207,818 and 311,967

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Solution

The third proportional to 207,818 and 311,967 is: 468,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,818 : 311,967 = 311,967 : x
  2. Step 2: Convert to fraction form
    207,818/311,967 = 311,967/x
  3. Step 3: Cross multiply
    207,818x = 311,967 × 311,967
  4. Step 4: Simplify right side
    207,818x = 97,323,409,089
  5. Step 5: Solve for x
    x = 97,323,409,089/207,818
  6. Step 6: Final answer
    x = 468,310.78

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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.