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Finding the Third Proportional to 100,726 and 211,818

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Solution

The third proportional to 100,726 and 211,818 is: 445,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,726 : 211,818 = 211,818 : x
  2. Step 2: Convert to fraction form
    100,726/211,818 = 211,818/x
  3. Step 3: Cross multiply
    100,726x = 211,818 × 211,818
  4. Step 4: Simplify right side
    100,726x = 44,866,865,124
  5. Step 5: Solve for x
    x = 44,866,865,124/100,726
  6. Step 6: Final answer
    x = 445,434.79

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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.