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Finding the Third Proportional to 203,636 and 421,240

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Solution

The third proportional to 203,636 and 421,240 is: 871,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,636 : 421,240 = 421,240 : x
  2. Step 2: Convert to fraction form
    203,636/421,240 = 421,240/x
  3. Step 3: Cross multiply
    203,636x = 421,240 × 421,240
  4. Step 4: Simplify right side
    203,636x = 177,443,137,600
  5. Step 5: Solve for x
    x = 177,443,137,600/203,636
  6. Step 6: Final answer
    x = 871,374.11

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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.