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Finding the Third Proportional to 196,812 and 407,628

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Solution

The third proportional to 196,812 and 407,628 is: 844,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,812 : 407,628 = 407,628 : x
  2. Step 2: Convert to fraction form
    196,812/407,628 = 407,628/x
  3. Step 3: Cross multiply
    196,812x = 407,628 × 407,628
  4. Step 4: Simplify right side
    196,812x = 166,160,586,384
  5. Step 5: Solve for x
    x = 166,160,586,384/196,812
  6. Step 6: Final answer
    x = 844,260.44

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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.