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Finding the Third Proportional to 196,883 and 421,774

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Solution

The third proportional to 196,883 and 421,774 is: 903,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,883 : 421,774 = 421,774 : x
  2. Step 2: Convert to fraction form
    196,883/421,774 = 421,774/x
  3. Step 3: Cross multiply
    196,883x = 421,774 × 421,774
  4. Step 4: Simplify right side
    196,883x = 177,893,307,076
  5. Step 5: Solve for x
    x = 177,893,307,076/196,883
  6. Step 6: Final answer
    x = 903,548.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.