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Finding the Third Proportional to 50,573 and 72,846

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Solution

The third proportional to 50,573 and 72,846 is: 104,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,573 : 72,846 = 72,846 : x
  2. Step 2: Convert to fraction form
    50,573/72,846 = 72,846/x
  3. Step 3: Cross multiply
    50,573x = 72,846 × 72,846
  4. Step 4: Simplify right side
    50,573x = 5,306,539,716
  5. Step 5: Solve for x
    x = 5,306,539,716/50,573
  6. Step 6: Final answer
    x = 104,928.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.