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Finding the Third Proportional to 383,092 and 777,120

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Solution

The third proportional to 383,092 and 777,120 is: 1,576,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,092 : 777,120 = 777,120 : x
  2. Step 2: Convert to fraction form
    383,092/777,120 = 777,120/x
  3. Step 3: Cross multiply
    383,092x = 777,120 × 777,120
  4. Step 4: Simplify right side
    383,092x = 603,915,494,400
  5. Step 5: Solve for x
    x = 603,915,494,400/383,092
  6. Step 6: Final answer
    x = 1,576,424.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.