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Finding the Third Proportional to 121,179 and 259,206

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Solution

The third proportional to 121,179 and 259,206 is: 554,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,179 : 259,206 = 259,206 : x
  2. Step 2: Convert to fraction form
    121,179/259,206 = 259,206/x
  3. Step 3: Cross multiply
    121,179x = 259,206 × 259,206
  4. Step 4: Simplify right side
    121,179x = 67,187,750,436
  5. Step 5: Solve for x
    x = 67,187,750,436/121,179
  6. Step 6: Final answer
    x = 554,450.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.