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Finding the Third Proportional to 100,007 and 211,255

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Solution

The third proportional to 100,007 and 211,255 is: 446,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,007 : 211,255 = 211,255 : x
  2. Step 2: Convert to fraction form
    100,007/211,255 = 211,255/x
  3. Step 3: Cross multiply
    100,007x = 211,255 × 211,255
  4. Step 4: Simplify right side
    100,007x = 44,628,675,025
  5. Step 5: Solve for x
    x = 44,628,675,025/100,007
  6. Step 6: Final answer
    x = 446,255.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.