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Finding the Third Proportional to 50,480 and 106,186

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Solution

The third proportional to 50,480 and 106,186 is: 223,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,480 : 106,186 = 106,186 : x
  2. Step 2: Convert to fraction form
    50,480/106,186 = 106,186/x
  3. Step 3: Cross multiply
    50,480x = 106,186 × 106,186
  4. Step 4: Simplify right side
    50,480x = 11,275,466,596
  5. Step 5: Solve for x
    x = 11,275,466,596/50,480
  6. Step 6: Final answer
    x = 223,365.03

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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.