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Finding the Third Proportional to 121,286 and 173,676

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Solution

The third proportional to 121,286 and 173,676 is: 248,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,286 : 173,676 = 173,676 : x
  2. Step 2: Convert to fraction form
    121,286/173,676 = 173,676/x
  3. Step 3: Cross multiply
    121,286x = 173,676 × 173,676
  4. Step 4: Simplify right side
    121,286x = 30,163,352,976
  5. Step 5: Solve for x
    x = 30,163,352,976/121,286
  6. Step 6: Final answer
    x = 248,696.08

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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.