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Finding the Third Proportional to 100,411 and 211,176

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Solution

The third proportional to 100,411 and 211,176 is: 444,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411 : 211,176 = 211,176 : x
  2. Step 2: Convert to fraction form
    100,411/211,176 = 211,176/x
  3. Step 3: Cross multiply
    100,411x = 211,176 × 211,176
  4. Step 4: Simplify right side
    100,411x = 44,595,302,976
  5. Step 5: Solve for x
    x = 44,595,302,976/100,411
  6. Step 6: Final answer
    x = 444,127.67

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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.