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Finding the Third Proportional to 50,483.25 and 106,194.80

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Solution

The third proportional to 50,483.25 and 106,194.80 is: 223,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,483.25 : 106,194.80 = 106,194.80 : x
  2. Step 2: Convert to fraction form
    50,483.25/106,194.80 = 106,194.80/x
  3. Step 3: Cross multiply
    50,483.25x = 106,194.80 × 106,194.80
  4. Step 4: Simplify right side
    50,483.25x = 11,277,334,883.32
  5. Step 5: Solve for x
    x = 11,277,334,883.32/50,483.25
  6. Step 6: Final answer
    x = 223,387.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.