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Finding the Third Proportional to 43,998 and 85,809

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Solution

The third proportional to 43,998 and 85,809 is: 167,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,998 : 85,809 = 85,809 : x
  2. Step 2: Convert to fraction form
    43,998/85,809 = 85,809/x
  3. Step 3: Cross multiply
    43,998x = 85,809 × 85,809
  4. Step 4: Simplify right side
    43,998x = 7,363,184,481
  5. Step 5: Solve for x
    x = 7,363,184,481/43,998
  6. Step 6: Final answer
    x = 167,352.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.