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Finding the Third Proportional to 50,448 and 105,040

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Solution

The third proportional to 50,448 and 105,040 is: 218,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448 : 105,040 = 105,040 : x
  2. Step 2: Convert to fraction form
    50,448/105,040 = 105,040/x
  3. Step 3: Cross multiply
    50,448x = 105,040 × 105,040
  4. Step 4: Simplify right side
    50,448x = 11,033,401,600
  5. Step 5: Solve for x
    x = 11,033,401,600/50,448
  6. Step 6: Final answer
    x = 218,708.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.