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Finding the Third Proportional to 100,172 and 211,522

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Solution

The third proportional to 100,172 and 211,522 is: 446,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,172 : 211,522 = 211,522 : x
  2. Step 2: Convert to fraction form
    100,172/211,522 = 211,522/x
  3. Step 3: Cross multiply
    100,172x = 211,522 × 211,522
  4. Step 4: Simplify right side
    100,172x = 44,741,556,484
  5. Step 5: Solve for x
    x = 44,741,556,484/100,172
  6. Step 6: Final answer
    x = 446,647.33

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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.