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Finding the Third Proportional to 33,010 and 48,787

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Solution

The third proportional to 33,010 and 48,787 is: 72,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010 : 48,787 = 48,787 : x
  2. Step 2: Convert to fraction form
    33,010/48,787 = 48,787/x
  3. Step 3: Cross multiply
    33,010x = 48,787 × 48,787
  4. Step 4: Simplify right side
    33,010x = 2,380,171,369
  5. Step 5: Solve for x
    x = 2,380,171,369/33,010
  6. Step 6: Final answer
    x = 72,104.56

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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.