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Finding the Third Proportional to 103,505.50 and 211,364.75

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Solution

The third proportional to 103,505.50 and 211,364.75 is: 431,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,505.50 : 211,364.75 = 211,364.75 : x
  2. Step 2: Convert to fraction form
    103,505.50/211,364.75 = 211,364.75/x
  3. Step 3: Cross multiply
    103,505.50x = 211,364.75 × 211,364.75
  4. Step 4: Simplify right side
    103,505.50x = 44,675,057,542.56
  5. Step 5: Solve for x
    x = 44,675,057,542.56/103,505.50
  6. Step 6: Final answer
    x = 431,620.13

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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.