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Finding the Third Proportional to 143,500.75 and 313,228.75

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Solution

The third proportional to 143,500.75 and 313,228.75 is: 683,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,500.75 : 313,228.75 = 313,228.75 : x
  2. Step 2: Convert to fraction form
    143,500.75/313,228.75 = 313,228.75/x
  3. Step 3: Cross multiply
    143,500.75x = 313,228.75 × 313,228.75
  4. Step 4: Simplify right side
    143,500.75x = 98,112,249,826.56
  5. Step 5: Solve for x
    x = 98,112,249,826.56/143,500.75
  6. Step 6: Final answer
    x = 683,705.48

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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.