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Finding the Third Proportional to 311,538 and 445,505.25

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Solution

The third proportional to 311,538 and 445,505.25 is: 637,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,538 : 445,505.25 = 445,505.25 : x
  2. Step 2: Convert to fraction form
    311,538/445,505.25 = 445,505.25/x
  3. Step 3: Cross multiply
    311,538x = 445,505.25 × 445,505.25
  4. Step 4: Simplify right side
    311,538x = 198,474,927,777.56
  5. Step 5: Solve for x
    x = 198,474,927,777.56/311,538
  6. Step 6: Final answer
    x = 637,080.96

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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.