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Finding the Third Proportional to 143,828 and 313,610

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Solution

The third proportional to 143,828 and 313,610 is: 683,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,828 : 313,610 = 313,610 : x
  2. Step 2: Convert to fraction form
    143,828/313,610 = 313,610/x
  3. Step 3: Cross multiply
    143,828x = 313,610 × 313,610
  4. Step 4: Simplify right side
    143,828x = 98,351,232,100
  5. Step 5: Solve for x
    x = 98,351,232,100/143,828
  6. Step 6: Final answer
    x = 683,811.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.