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Finding the Third Proportional to 190,218.38 and 401,653.69

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Solution

The third proportional to 190,218.38 and 401,653.69 is: 848,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,218.38 : 401,653.69 = 401,653.69 : x
  2. Step 2: Convert to fraction form
    190,218.38/401,653.69 = 401,653.69/x
  3. Step 3: Cross multiply
    190,218.38x = 401,653.69 × 401,653.69
  4. Step 4: Simplify right side
    190,218.38x = 161,325,684,682.35
  5. Step 5: Solve for x
    x = 161,325,684,682.35/190,218.38
  6. Step 6: Final answer
    x = 848,107.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.