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Finding the Third Proportional to 143,838 and 211,322

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Solution

The third proportional to 143,838 and 211,322 is: 310,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,838 : 211,322 = 211,322 : x
  2. Step 2: Convert to fraction form
    143,838/211,322 = 211,322/x
  3. Step 3: Cross multiply
    143,838x = 211,322 × 211,322
  4. Step 4: Simplify right side
    143,838x = 44,656,987,684
  5. Step 5: Solve for x
    x = 44,656,987,684/143,838
  6. Step 6: Final answer
    x = 310,467.25

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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.