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Finding the Third Proportional to 100,211.25 and 208,686

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Solution

The third proportional to 100,211.25 and 208,686 is: 434,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,211.25 : 208,686 = 208,686 : x
  2. Step 2: Convert to fraction form
    100,211.25/208,686 = 208,686/x
  3. Step 3: Cross multiply
    100,211.25x = 208,686 × 208,686
  4. Step 4: Simplify right side
    100,211.25x = 43,549,846,596
  5. Step 5: Solve for x
    x = 43,549,846,596/100,211.25
  6. Step 6: Final answer
    x = 434,580.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.