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Finding the Third Proportional to 203,623 and 421,214

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Solution

The third proportional to 203,623 and 421,214 is: 871,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,623 : 421,214 = 421,214 : x
  2. Step 2: Convert to fraction form
    203,623/421,214 = 421,214/x
  3. Step 3: Cross multiply
    203,623x = 421,214 × 421,214
  4. Step 4: Simplify right side
    203,623x = 177,421,233,796
  5. Step 5: Solve for x
    x = 177,421,233,796/203,623
  6. Step 6: Final answer
    x = 871,322.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.