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Finding the Third Proportional to 196,872 and 421,752

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Solution

The third proportional to 196,872 and 421,752 is: 903,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,872 : 421,752 = 421,752 : x
  2. Step 2: Convert to fraction form
    196,872/421,752 = 421,752/x
  3. Step 3: Cross multiply
    196,872x = 421,752 × 421,752
  4. Step 4: Simplify right side
    196,872x = 177,874,749,504
  5. Step 5: Solve for x
    x = 177,874,749,504/196,872
  6. Step 6: Final answer
    x = 903,504.56

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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.