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Finding the Third Proportional to 311,925 and 445,723

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Solution

The third proportional to 311,925 and 445,723 is: 636,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,925 : 445,723 = 445,723 : x
  2. Step 2: Convert to fraction form
    311,925/445,723 = 445,723/x
  3. Step 3: Cross multiply
    311,925x = 445,723 × 445,723
  4. Step 4: Simplify right side
    311,925x = 198,668,992,729
  5. Step 5: Solve for x
    x = 198,668,992,729/311,925
  6. Step 6: Final answer
    x = 636,912.70

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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.