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Finding the Third Proportional to 140,161.43 and 211,914.35

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Solution

The third proportional to 140,161.43 and 211,914.35 is: 320,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,161.43 : 211,914.35 = 211,914.35 : x
  2. Step 2: Convert to fraction form
    140,161.43/211,914.35 = 211,914.35/x
  3. Step 3: Cross multiply
    140,161.43x = 211,914.35 × 211,914.35
  4. Step 4: Simplify right side
    140,161.43x = 44,907,692,398.15
  5. Step 5: Solve for x
    x = 44,907,692,398.15/140,161.43
  6. Step 6: Final answer
    x = 320,399.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.