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Finding the Third Proportional to 311,652 and 445,662

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Solution

The third proportional to 311,652 and 445,662 is: 637,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,652 : 445,662 = 445,662 : x
  2. Step 2: Convert to fraction form
    311,652/445,662 = 445,662/x
  3. Step 3: Cross multiply
    311,652x = 445,662 × 445,662
  4. Step 4: Simplify right side
    311,652x = 198,614,618,244
  5. Step 5: Solve for x
    x = 198,614,618,244/311,652
  6. Step 6: Final answer
    x = 637,296.15

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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.