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Finding the Third Proportional to 63,819 and 140,679

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Solution

The third proportional to 63,819 and 140,679 is: 310,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,819 : 140,679 = 140,679 : x
  2. Step 2: Convert to fraction form
    63,819/140,679 = 140,679/x
  3. Step 3: Cross multiply
    63,819x = 140,679 × 140,679
  4. Step 4: Simplify right side
    63,819x = 19,790,581,041
  5. Step 5: Solve for x
    x = 19,790,581,041/63,819
  6. Step 6: Final answer
    x = 310,104.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.