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Finding the Third Proportional to 33,590 and 51,191

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Solution

The third proportional to 33,590 and 51,191 is: 78,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590 : 51,191 = 51,191 : x
  2. Step 2: Convert to fraction form
    33,590/51,191 = 51,191/x
  3. Step 3: Cross multiply
    33,590x = 51,191 × 51,191
  4. Step 4: Simplify right side
    33,590x = 2,620,518,481
  5. Step 5: Solve for x
    x = 2,620,518,481/33,590
  6. Step 6: Final answer
    x = 78,014.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.