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Finding the Third Proportional to 80,809 and 171,986

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Solution

The third proportional to 80,809 and 171,986 is: 366,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,809 : 171,986 = 171,986 : x
  2. Step 2: Convert to fraction form
    80,809/171,986 = 171,986/x
  3. Step 3: Cross multiply
    80,809x = 171,986 × 171,986
  4. Step 4: Simplify right side
    80,809x = 29,579,184,196
  5. Step 5: Solve for x
    x = 29,579,184,196/80,809
  6. Step 6: Final answer
    x = 366,038.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.