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Finding the Third Proportional to 100,728 and 211,822

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Solution

The third proportional to 100,728 and 211,822 is: 445,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,728 : 211,822 = 211,822 : x
  2. Step 2: Convert to fraction form
    100,728/211,822 = 211,822/x
  3. Step 3: Cross multiply
    100,728x = 211,822 × 211,822
  4. Step 4: Simplify right side
    100,728x = 44,868,559,684
  5. Step 5: Solve for x
    x = 44,868,559,684/100,728
  6. Step 6: Final answer
    x = 445,442.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.