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Finding the Third Proportional to 203,859 and 311,114

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Solution

The third proportional to 203,859 and 311,114 is: 474,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,859 : 311,114 = 311,114 : x
  2. Step 2: Convert to fraction form
    203,859/311,114 = 311,114/x
  3. Step 3: Cross multiply
    203,859x = 311,114 × 311,114
  4. Step 4: Simplify right side
    203,859x = 96,791,920,996
  5. Step 5: Solve for x
    x = 96,791,920,996/203,859
  6. Step 6: Final answer
    x = 474,798.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.