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Finding the Third Proportional to 311,950 and 446,100

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Solution

The third proportional to 311,950 and 446,100 is: 637,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,950 : 446,100 = 446,100 : x
  2. Step 2: Convert to fraction form
    311,950/446,100 = 446,100/x
  3. Step 3: Cross multiply
    311,950x = 446,100 × 446,100
  4. Step 4: Simplify right side
    311,950x = 199,005,210,000
  5. Step 5: Solve for x
    x = 199,005,210,000/311,950
  6. Step 6: Final answer
    x = 637,939.45

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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.