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Finding the Third Proportional to 311,138 and 606,724

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Solution

The third proportional to 311,138 and 606,724 is: 1,183,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,138 : 606,724 = 606,724 : x
  2. Step 2: Convert to fraction form
    311,138/606,724 = 606,724/x
  3. Step 3: Cross multiply
    311,138x = 606,724 × 606,724
  4. Step 4: Simplify right side
    311,138x = 368,114,012,176
  5. Step 5: Solve for x
    x = 368,114,012,176/311,138
  6. Step 6: Final answer
    x = 1,183,121.36

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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.