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Finding the Third Proportional to 77,006 and 115,189

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Solution

The third proportional to 77,006 and 115,189 is: 172,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006 : 115,189 = 115,189 : x
  2. Step 2: Convert to fraction form
    77,006/115,189 = 115,189/x
  3. Step 3: Cross multiply
    77,006x = 115,189 × 115,189
  4. Step 4: Simplify right side
    77,006x = 13,268,505,721
  5. Step 5: Solve for x
    x = 13,268,505,721/77,006
  6. Step 6: Final answer
    x = 172,304.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.