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Finding the Third Proportional to 129,169.88 and 203,659.50

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Solution

The third proportional to 129,169.88 and 203,659.50 is: 321,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,169.88 : 203,659.50 = 203,659.50 : x
  2. Step 2: Convert to fraction form
    129,169.88/203,659.50 = 203,659.50/x
  3. Step 3: Cross multiply
    129,169.88x = 203,659.50 × 203,659.50
  4. Step 4: Simplify right side
    129,169.88x = 41,477,191,940.25
  5. Step 5: Solve for x
    x = 41,477,191,940.25/129,169.88
  6. Step 6: Final answer
    x = 321,105.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.