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Finding the Third Proportional to 189,378 and 405,356

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Solution

The third proportional to 189,378 and 405,356 is: 867,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,378 : 405,356 = 405,356 : x
  2. Step 2: Convert to fraction form
    189,378/405,356 = 405,356/x
  3. Step 3: Cross multiply
    189,378x = 405,356 × 405,356
  4. Step 4: Simplify right side
    189,378x = 164,313,486,736
  5. Step 5: Solve for x
    x = 164,313,486,736/189,378
  6. Step 6: Final answer
    x = 867,648.23

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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.