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Finding the Third Proportional to 121,405 and 179,751

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Solution

The third proportional to 121,405 and 179,751 is: 266,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405 : 179,751 = 179,751 : x
  2. Step 2: Convert to fraction form
    121,405/179,751 = 179,751/x
  3. Step 3: Cross multiply
    121,405x = 179,751 × 179,751
  4. Step 4: Simplify right side
    121,405x = 32,310,422,001
  5. Step 5: Solve for x
    x = 32,310,422,001/121,405
  6. Step 6: Final answer
    x = 266,137.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.