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Finding the Third Proportional to 121,210 and 259,268

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Solution

The third proportional to 121,210 and 259,268 is: 554,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,210 : 259,268 = 259,268 : x
  2. Step 2: Convert to fraction form
    121,210/259,268 = 259,268/x
  3. Step 3: Cross multiply
    121,210x = 259,268 × 259,268
  4. Step 4: Simplify right side
    121,210x = 67,219,895,824
  5. Step 5: Solve for x
    x = 67,219,895,824/121,210
  6. Step 6: Final answer
    x = 554,573.85

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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.