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Finding the Third Proportional to 207,350 and 311,816

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Solution

The third proportional to 207,350 and 311,816 is: 468,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,350 : 311,816 = 311,816 : x
  2. Step 2: Convert to fraction form
    207,350/311,816 = 311,816/x
  3. Step 3: Cross multiply
    207,350x = 311,816 × 311,816
  4. Step 4: Simplify right side
    207,350x = 97,229,217,856
  5. Step 5: Solve for x
    x = 97,229,217,856/207,350
  6. Step 6: Final answer
    x = 468,913.52

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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.