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Finding the Third Proportional to 121,274 and 259,036

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Solution

The third proportional to 121,274 and 259,036 is: 553,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,274 : 259,036 = 259,036 : x
  2. Step 2: Convert to fraction form
    121,274/259,036 = 259,036/x
  3. Step 3: Cross multiply
    121,274x = 259,036 × 259,036
  4. Step 4: Simplify right side
    121,274x = 67,099,649,296
  5. Step 5: Solve for x
    x = 67,099,649,296/121,274
  6. Step 6: Final answer
    x = 553,289.65

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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.