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Finding the Third Proportional to 143,820 and 313,879.50

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Solution

The third proportional to 143,820 and 313,879.50 is: 685,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,820 : 313,879.50 = 313,879.50 : x
  2. Step 2: Convert to fraction form
    143,820/313,879.50 = 313,879.50/x
  3. Step 3: Cross multiply
    143,820x = 313,879.50 × 313,879.50
  4. Step 4: Simplify right side
    143,820x = 98,520,340,520.25
  5. Step 5: Solve for x
    x = 98,520,340,520.25/143,820
  6. Step 6: Final answer
    x = 685,025.31

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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.