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Finding the Third Proportional to 143,566.25 and 211,383.75

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Solution

The third proportional to 143,566.25 and 211,383.75 is: 311,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,566.25 : 211,383.75 = 211,383.75 : x
  2. Step 2: Convert to fraction form
    143,566.25/211,383.75 = 211,383.75/x
  3. Step 3: Cross multiply
    143,566.25x = 211,383.75 × 211,383.75
  4. Step 4: Simplify right side
    143,566.25x = 44,683,089,764.06
  5. Step 5: Solve for x
    x = 44,683,089,764.06/143,566.25
  6. Step 6: Final answer
    x = 311,236.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.