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Finding the Third Proportional to 121,923 and 260,745

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Solution

The third proportional to 121,923 and 260,745 is: 557,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,923 : 260,745 = 260,745 : x
  2. Step 2: Convert to fraction form
    121,923/260,745 = 260,745/x
  3. Step 3: Cross multiply
    121,923x = 260,745 × 260,745
  4. Step 4: Simplify right side
    121,923x = 67,987,955,025
  5. Step 5: Solve for x
    x = 67,987,955,025/121,923
  6. Step 6: Final answer
    x = 557,630.27

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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.