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Finding the Third Proportional to 394,890.19 and 770,097.38

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Solution

The third proportional to 394,890.19 and 770,097.38 is: 1,501,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,890.19 : 770,097.38 = 770,097.38 : x
  2. Step 2: Convert to fraction form
    394,890.19/770,097.38 = 770,097.38/x
  3. Step 3: Cross multiply
    394,890.19x = 770,097.38 × 770,097.38
  4. Step 4: Simplify right side
    394,890.19x = 593,049,966,981.89
  5. Step 5: Solve for x
    x = 593,049,966,981.89/394,890.19
  6. Step 6: Final answer
    x = 1,501,809.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.