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Finding the Third Proportional to 311,634 and 445,598

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Solution

The third proportional to 311,634 and 445,598 is: 637,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,634 : 445,598 = 445,598 : x
  2. Step 2: Convert to fraction form
    311,634/445,598 = 445,598/x
  3. Step 3: Cross multiply
    311,634x = 445,598 × 445,598
  4. Step 4: Simplify right side
    311,634x = 198,557,577,604
  5. Step 5: Solve for x
    x = 198,557,577,604/311,634
  6. Step 6: Final answer
    x = 637,149.92

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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.