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Finding the Third Proportional to 143,505 and 312,843

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Solution

The third proportional to 143,505 and 312,843 is: 682,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,505 : 312,843 = 312,843 : x
  2. Step 2: Convert to fraction form
    143,505/312,843 = 312,843/x
  3. Step 3: Cross multiply
    143,505x = 312,843 × 312,843
  4. Step 4: Simplify right side
    143,505x = 97,870,742,649
  5. Step 5: Solve for x
    x = 97,870,742,649/143,505
  6. Step 6: Final answer
    x = 682,002.32

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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.