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Finding the Third Proportional to 207,350 and 311,818

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Solution

The third proportional to 207,350 and 311,818 is: 468,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,350 : 311,818 = 311,818 : x
  2. Step 2: Convert to fraction form
    207,350/311,818 = 311,818/x
  3. Step 3: Cross multiply
    207,350x = 311,818 × 311,818
  4. Step 4: Simplify right side
    207,350x = 97,230,465,124
  5. Step 5: Solve for x
    x = 97,230,465,124/207,350
  6. Step 6: Final answer
    x = 468,919.53

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Why These Related Problems?

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