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Finding the Third Proportional to 210,211 and 302,194

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Solution

The third proportional to 210,211 and 302,194 is: 434,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,211 : 302,194 = 302,194 : x
  2. Step 2: Convert to fraction form
    210,211/302,194 = 302,194/x
  3. Step 3: Cross multiply
    210,211x = 302,194 × 302,194
  4. Step 4: Simplify right side
    210,211x = 91,321,213,636
  5. Step 5: Solve for x
    x = 91,321,213,636/210,211
  6. Step 6: Final answer
    x = 434,426.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.