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Finding the Third Proportional to 121,640 and 261,392

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Solution

The third proportional to 121,640 and 261,392 is: 561,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,640 : 261,392 = 261,392 : x
  2. Step 2: Convert to fraction form
    121,640/261,392 = 261,392/x
  3. Step 3: Cross multiply
    121,640x = 261,392 × 261,392
  4. Step 4: Simplify right side
    121,640x = 68,325,777,664
  5. Step 5: Solve for x
    x = 68,325,777,664/121,640
  6. Step 6: Final answer
    x = 561,704.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.