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Finding the Third Proportional to 33,890 and 51,086

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Solution

The third proportional to 33,890 and 51,086 is: 77,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,890 : 51,086 = 51,086 : x
  2. Step 2: Convert to fraction form
    33,890/51,086 = 51,086/x
  3. Step 3: Cross multiply
    33,890x = 51,086 × 51,086
  4. Step 4: Simplify right side
    33,890x = 2,609,779,396
  5. Step 5: Solve for x
    x = 2,609,779,396/33,890
  6. Step 6: Final answer
    x = 77,007.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.