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Finding the Third Proportional to 311,980 and 446,147

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Solution

The third proportional to 311,980 and 446,147 is: 638,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,980 : 446,147 = 446,147 : x
  2. Step 2: Convert to fraction form
    311,980/446,147 = 446,147/x
  3. Step 3: Cross multiply
    311,980x = 446,147 × 446,147
  4. Step 4: Simplify right side
    311,980x = 199,047,145,609
  5. Step 5: Solve for x
    x = 199,047,145,609/311,980
  6. Step 6: Final answer
    x = 638,012.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.