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Finding the Third Proportional to 36,819 and 79,519

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Solution

The third proportional to 36,819 and 79,519 is: 171,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,819 : 79,519 = 79,519 : x
  2. Step 2: Convert to fraction form
    36,819/79,519 = 79,519/x
  3. Step 3: Cross multiply
    36,819x = 79,519 × 79,519
  4. Step 4: Simplify right side
    36,819x = 6,323,271,361
  5. Step 5: Solve for x
    x = 6,323,271,361/36,819
  6. Step 6: Final answer
    x = 171,739.36

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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.