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Finding the Third Proportional to 207,398 and 311,036

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Solution

The third proportional to 207,398 and 311,036 is: 466,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398 : 311,036 = 311,036 : x
  2. Step 2: Convert to fraction form
    207,398/311,036 = 311,036/x
  3. Step 3: Cross multiply
    207,398x = 311,036 × 311,036
  4. Step 4: Simplify right side
    207,398x = 96,743,393,296
  5. Step 5: Solve for x
    x = 96,743,393,296/207,398
  6. Step 6: Final answer
    x = 466,462.52

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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.