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Finding the Third Proportional to 121,291 and 173,679

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Solution

The third proportional to 121,291 and 173,679 is: 248,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,291 : 173,679 = 173,679 : x
  2. Step 2: Convert to fraction form
    121,291/173,679 = 173,679/x
  3. Step 3: Cross multiply
    121,291x = 173,679 × 173,679
  4. Step 4: Simplify right side
    121,291x = 30,164,395,041
  5. Step 5: Solve for x
    x = 30,164,395,041/121,291
  6. Step 6: Final answer
    x = 248,694.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.