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Finding the Third Proportional to 80,106.75 and 172,879.13

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Solution

The third proportional to 80,106.75 and 172,879.13 is: 373,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,106.75 : 172,879.13 = 172,879.13 : x
  2. Step 2: Convert to fraction form
    80,106.75/172,879.13 = 172,879.13/x
  3. Step 3: Cross multiply
    80,106.75x = 172,879.13 × 172,879.13
  4. Step 4: Simplify right side
    80,106.75x = 29,887,191,860.77
  5. Step 5: Solve for x
    x = 29,887,191,860.77/80,106.75
  6. Step 6: Final answer
    x = 373,092.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.