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Finding the Third Proportional to 190,648 and 406,616

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Solution

The third proportional to 190,648 and 406,616 is: 867,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,648 : 406,616 = 406,616 : x
  2. Step 2: Convert to fraction form
    190,648/406,616 = 406,616/x
  3. Step 3: Cross multiply
    190,648x = 406,616 × 406,616
  4. Step 4: Simplify right side
    190,648x = 165,336,571,456
  5. Step 5: Solve for x
    x = 165,336,571,456/190,648
  6. Step 6: Final answer
    x = 867,234.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.