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Finding the Third Proportional to 163,240 and 231,191

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Solution

The third proportional to 163,240 and 231,191 is: 327,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,240 : 231,191 = 231,191 : x
  2. Step 2: Convert to fraction form
    163,240/231,191 = 231,191/x
  3. Step 3: Cross multiply
    163,240x = 231,191 × 231,191
  4. Step 4: Simplify right side
    163,240x = 53,449,278,481
  5. Step 5: Solve for x
    x = 53,449,278,481/163,240
  6. Step 6: Final answer
    x = 327,427.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.