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Finding the Third Proportional to 81,556 and 119,187

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Solution

The third proportional to 81,556 and 119,187 is: 174,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556 : 119,187 = 119,187 : x
  2. Step 2: Convert to fraction form
    81,556/119,187 = 119,187/x
  3. Step 3: Cross multiply
    81,556x = 119,187 × 119,187
  4. Step 4: Simplify right side
    81,556x = 14,205,540,969
  5. Step 5: Solve for x
    x = 14,205,540,969/81,556
  6. Step 6: Final answer
    x = 174,181.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.