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Finding the Third Proportional to 122,418 and 255,908.25

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Solution

The third proportional to 122,418 and 255,908.25 is: 534,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,418 : 255,908.25 = 255,908.25 : x
  2. Step 2: Convert to fraction form
    122,418/255,908.25 = 255,908.25/x
  3. Step 3: Cross multiply
    122,418x = 255,908.25 × 255,908.25
  4. Step 4: Simplify right side
    122,418x = 65,489,032,418.06
  5. Step 5: Solve for x
    x = 65,489,032,418.06/122,418
  6. Step 6: Final answer
    x = 534,962.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.