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Finding the Third Proportional to 143,505 and 313,240.50

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Solution

The third proportional to 143,505 and 313,240.50 is: 683,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,505 : 313,240.50 = 313,240.50 : x
  2. Step 2: Convert to fraction form
    143,505/313,240.50 = 313,240.50/x
  3. Step 3: Cross multiply
    143,505x = 313,240.50 × 313,240.50
  4. Step 4: Simplify right side
    143,505x = 98,119,610,840.25
  5. Step 5: Solve for x
    x = 98,119,610,840.25/143,505
  6. Step 6: Final answer
    x = 683,736.53

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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.