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Finding the Third Proportional to 100,719 and 211,806

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Solution

The third proportional to 100,719 and 211,806 is: 445,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,719 : 211,806 = 211,806 : x
  2. Step 2: Convert to fraction form
    100,719/211,806 = 211,806/x
  3. Step 3: Cross multiply
    100,719x = 211,806 × 211,806
  4. Step 4: Simplify right side
    100,719x = 44,861,781,636
  5. Step 5: Solve for x
    x = 44,861,781,636/100,719
  6. Step 6: Final answer
    x = 445,415.28

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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.