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Finding the Third Proportional to 311,776 and 445,864

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Solution

The third proportional to 311,776 and 445,864 is: 637,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,776 : 445,864 = 445,864 : x
  2. Step 2: Convert to fraction form
    311,776/445,864 = 445,864/x
  3. Step 3: Cross multiply
    311,776x = 445,864 × 445,864
  4. Step 4: Simplify right side
    311,776x = 198,794,706,496
  5. Step 5: Solve for x
    x = 198,794,706,496/311,776
  6. Step 6: Final answer
    x = 637,620.30

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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.