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Finding the Third Proportional to 311,998 and 445,852

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Solution

The third proportional to 311,998 and 445,852 is: 637,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,998 : 445,852 = 445,852 : x
  2. Step 2: Convert to fraction form
    311,998/445,852 = 445,852/x
  3. Step 3: Cross multiply
    311,998x = 445,852 × 445,852
  4. Step 4: Simplify right side
    311,998x = 198,784,005,904
  5. Step 5: Solve for x
    x = 198,784,005,904/311,998
  6. Step 6: Final answer
    x = 637,132.31

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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.