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Finding the Third Proportional to 50,911.50 and 111,786

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Solution

The third proportional to 50,911.50 and 111,786 is: 245,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,911.50 : 111,786 = 111,786 : x
  2. Step 2: Convert to fraction form
    50,911.50/111,786 = 111,786/x
  3. Step 3: Cross multiply
    50,911.50x = 111,786 × 111,786
  4. Step 4: Simplify right side
    50,911.50x = 12,496,109,796
  5. Step 5: Solve for x
    x = 12,496,109,796/50,911.50
  6. Step 6: Final answer
    x = 245,447.68

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