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Finding the Third Proportional to 311,984 and 445,822

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Solution

The third proportional to 311,984 and 445,822 is: 637,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,984 : 445,822 = 445,822 : x
  2. Step 2: Convert to fraction form
    311,984/445,822 = 445,822/x
  3. Step 3: Cross multiply
    311,984x = 445,822 × 445,822
  4. Step 4: Simplify right side
    311,984x = 198,757,255,684
  5. Step 5: Solve for x
    x = 198,757,255,684/311,984
  6. Step 6: Final answer
    x = 637,075.16

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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.