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Finding the Third Proportional to 84,213 and 180,819

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Solution

The third proportional to 84,213 and 180,819 is: 388,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213 : 180,819 = 180,819 : x
  2. Step 2: Convert to fraction form
    84,213/180,819 = 180,819/x
  3. Step 3: Cross multiply
    84,213x = 180,819 × 180,819
  4. Step 4: Simplify right side
    84,213x = 32,695,510,761
  5. Step 5: Solve for x
    x = 32,695,510,761/84,213
  6. Step 6: Final answer
    x = 388,247.79

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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.