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Finding the Third Proportional to 196,512 and 421,040

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Solution

The third proportional to 196,512 and 421,040 is: 902,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,512 : 421,040 = 421,040 : x
  2. Step 2: Convert to fraction form
    196,512/421,040 = 421,040/x
  3. Step 3: Cross multiply
    196,512x = 421,040 × 421,040
  4. Step 4: Simplify right side
    196,512x = 177,274,681,600
  5. Step 5: Solve for x
    x = 177,274,681,600/196,512
  6. Step 6: Final answer
    x = 902,106.14

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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.