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Finding the Third Proportional to 103,813 and 143,809

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Solution

The third proportional to 103,813 and 143,809 is: 199,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,813 : 143,809 = 143,809 : x
  2. Step 2: Convert to fraction form
    103,813/143,809 = 143,809/x
  3. Step 3: Cross multiply
    103,813x = 143,809 × 143,809
  4. Step 4: Simplify right side
    103,813x = 20,681,028,481
  5. Step 5: Solve for x
    x = 20,681,028,481/103,813
  6. Step 6: Final answer
    x = 199,214.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.