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Finding the Third Proportional to 383,097 and 777,138

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Solution

The third proportional to 383,097 and 777,138 is: 1,576,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,097 : 777,138 = 777,138 : x
  2. Step 2: Convert to fraction form
    383,097/777,138 = 777,138/x
  3. Step 3: Cross multiply
    383,097x = 777,138 × 777,138
  4. Step 4: Simplify right side
    383,097x = 603,943,471,044
  5. Step 5: Solve for x
    x = 603,943,471,044/383,097
  6. Step 6: Final answer
    x = 1,576,476.64

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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.