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Finding the Third Proportional to 50,485 and 74,749

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Solution

The third proportional to 50,485 and 74,749 is: 110,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,485 : 74,749 = 74,749 : x
  2. Step 2: Convert to fraction form
    50,485/74,749 = 74,749/x
  3. Step 3: Cross multiply
    50,485x = 74,749 × 74,749
  4. Step 4: Simplify right side
    50,485x = 5,587,413,001
  5. Step 5: Solve for x
    x = 5,587,413,001/50,485
  6. Step 6: Final answer
    x = 110,674.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.