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Finding the Third Proportional to 140,826.75 and 313,138.50

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Solution

The third proportional to 140,826.75 and 313,138.50 is: 696,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,826.75 : 313,138.50 = 313,138.50 : x
  2. Step 2: Convert to fraction form
    140,826.75/313,138.50 = 313,138.50/x
  3. Step 3: Cross multiply
    140,826.75x = 313,138.50 × 313,138.50
  4. Step 4: Simplify right side
    140,826.75x = 98,055,720,182.25
  5. Step 5: Solve for x
    x = 98,055,720,182.25/140,826.75
  6. Step 6: Final answer
    x = 696,286.18

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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.