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Finding the Third Proportional to 143,562 and 312,954

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Solution

The third proportional to 143,562 and 312,954 is: 682,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,562 : 312,954 = 312,954 : x
  2. Step 2: Convert to fraction form
    143,562/312,954 = 312,954/x
  3. Step 3: Cross multiply
    143,562x = 312,954 × 312,954
  4. Step 4: Simplify right side
    143,562x = 97,940,206,116
  5. Step 5: Solve for x
    x = 97,940,206,116/143,562
  6. Step 6: Final answer
    x = 682,215.39

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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.