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Finding the Third Proportional to 143,667 and 211,330

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Solution

The third proportional to 143,667 and 211,330 is: 310,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,667 : 211,330 = 211,330 : x
  2. Step 2: Convert to fraction form
    143,667/211,330 = 211,330/x
  3. Step 3: Cross multiply
    143,667x = 211,330 × 211,330
  4. Step 4: Simplify right side
    143,667x = 44,660,368,900
  5. Step 5: Solve for x
    x = 44,660,368,900/143,667
  6. Step 6: Final answer
    x = 310,860.32

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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.