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Finding the Third Proportional to 144,917.44 and 315,577.69

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Solution

The third proportional to 144,917.44 and 315,577.69 is: 687,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,917.44 : 315,577.69 = 315,577.69 : x
  2. Step 2: Convert to fraction form
    144,917.44/315,577.69 = 315,577.69/x
  3. Step 3: Cross multiply
    144,917.44x = 315,577.69 × 315,577.69
  4. Step 4: Simplify right side
    144,917.44x = 99,589,276,847.85
  5. Step 5: Solve for x
    x = 99,589,276,847.85/144,917.44
  6. Step 6: Final answer
    x = 687,213.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.