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Finding the Third Proportional to 121,268 and 261,848

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Solution

The third proportional to 121,268 and 261,848 is: 565,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,268 : 261,848 = 261,848 : x
  2. Step 2: Convert to fraction form
    121,268/261,848 = 261,848/x
  3. Step 3: Cross multiply
    121,268x = 261,848 × 261,848
  4. Step 4: Simplify right side
    121,268x = 68,564,375,104
  5. Step 5: Solve for x
    x = 68,564,375,104/121,268
  6. Step 6: Final answer
    x = 565,395.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.