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Finding the Third Proportional to 103,999.50 and 211,995

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Solution

The third proportional to 103,999.50 and 211,995 is: 432,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,999.50 : 211,995 = 211,995 : x
  2. Step 2: Convert to fraction form
    103,999.50/211,995 = 211,995/x
  3. Step 3: Cross multiply
    103,999.50x = 211,995 × 211,995
  4. Step 4: Simplify right side
    103,999.50x = 44,941,880,025
  5. Step 5: Solve for x
    x = 44,941,880,025/103,999.50
  6. Step 6: Final answer
    x = 432,135.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.