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Finding the Third Proportional to 311,922 and 446,064

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Solution

The third proportional to 311,922 and 446,064 is: 637,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,922 : 446,064 = 446,064 : x
  2. Step 2: Convert to fraction form
    311,922/446,064 = 446,064/x
  3. Step 3: Cross multiply
    311,922x = 446,064 × 446,064
  4. Step 4: Simplify right side
    311,922x = 198,973,092,096
  5. Step 5: Solve for x
    x = 198,973,092,096/311,922
  6. Step 6: Final answer
    x = 637,893.74

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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.