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Finding the Third Proportional to 205,938 and 421,910

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Solution

The third proportional to 205,938 and 421,910 is: 864,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,938 : 421,910 = 421,910 : x
  2. Step 2: Convert to fraction form
    205,938/421,910 = 421,910/x
  3. Step 3: Cross multiply
    205,938x = 421,910 × 421,910
  4. Step 4: Simplify right side
    205,938x = 178,008,048,100
  5. Step 5: Solve for x
    x = 178,008,048,100/205,938
  6. Step 6: Final answer
    x = 864,376.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.