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Finding the Third Proportional to 100,003.50 and 211,771.13

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Solution

The third proportional to 100,003.50 and 211,771.13 is: 448,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,003.50 : 211,771.13 = 211,771.13 : x
  2. Step 2: Convert to fraction form
    100,003.50/211,771.13 = 211,771.13/x
  3. Step 3: Cross multiply
    100,003.50x = 211,771.13 × 211,771.13
  4. Step 4: Simplify right side
    100,003.50x = 44,847,009,383.77
  5. Step 5: Solve for x
    x = 44,847,009,383.77/100,003.50
  6. Step 6: Final answer
    x = 448,454.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.