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Finding the Third Proportional to 140,828 and 313,142

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Solution

The third proportional to 140,828 and 313,142 is: 696,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,828 : 313,142 = 313,142 : x
  2. Step 2: Convert to fraction form
    140,828/313,142 = 313,142/x
  3. Step 3: Cross multiply
    140,828x = 313,142 × 313,142
  4. Step 4: Simplify right side
    140,828x = 98,057,912,164
  5. Step 5: Solve for x
    x = 98,057,912,164/140,828
  6. Step 6: Final answer
    x = 696,295.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.