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Finding the Third Proportional to 190,728 and 406,782

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Solution

The third proportional to 190,728 and 406,782 is: 867,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,728 : 406,782 = 406,782 : x
  2. Step 2: Convert to fraction form
    190,728/406,782 = 406,782/x
  3. Step 3: Cross multiply
    190,728x = 406,782 × 406,782
  4. Step 4: Simplify right side
    190,728x = 165,471,595,524
  5. Step 5: Solve for x
    x = 165,471,595,524/190,728
  6. Step 6: Final answer
    x = 867,578.94

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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.