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Finding the Third Proportional to 84,354 and 181,212

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Solution

The third proportional to 84,354 and 181,212 is: 389,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,354 : 181,212 = 181,212 : x
  2. Step 2: Convert to fraction form
    84,354/181,212 = 181,212/x
  3. Step 3: Cross multiply
    84,354x = 181,212 × 181,212
  4. Step 4: Simplify right side
    84,354x = 32,837,788,944
  5. Step 5: Solve for x
    x = 32,837,788,944/84,354
  6. Step 6: Final answer
    x = 389,285.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.