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Finding the Third Proportional to 143,268.75 and 220,917.38

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Solution

The third proportional to 143,268.75 and 220,917.38 is: 340,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,268.75 : 220,917.38 = 220,917.38 : x
  2. Step 2: Convert to fraction form
    143,268.75/220,917.38 = 220,917.38/x
  3. Step 3: Cross multiply
    143,268.75x = 220,917.38 × 220,917.38
  4. Step 4: Simplify right side
    143,268.75x = 48,804,486,576.89
  5. Step 5: Solve for x
    x = 48,804,486,576.89/143,268.75
  6. Step 6: Final answer
    x = 340,649.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.