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Finding the Third Proportional to 196,923.94 and 421,868.81

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Solution

The third proportional to 196,923.94 and 421,868.81 is: 903,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,923.94 : 421,868.81 = 421,868.81 : x
  2. Step 2: Convert to fraction form
    196,923.94/421,868.81 = 421,868.81/x
  3. Step 3: Cross multiply
    196,923.94x = 421,868.81 × 421,868.81
  4. Step 4: Simplify right side
    196,923.94x = 177,973,294,960.16
  5. Step 5: Solve for x
    x = 177,973,294,960.16/196,923.94
  6. Step 6: Final answer
    x = 903,766.69

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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.