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Finding the Third Proportional to 76,999 and 115,182

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Solution

The third proportional to 76,999 and 115,182 is: 172,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,999 : 115,182 = 115,182 : x
  2. Step 2: Convert to fraction form
    76,999/115,182 = 115,182/x
  3. Step 3: Cross multiply
    76,999x = 115,182 × 115,182
  4. Step 4: Simplify right side
    76,999x = 13,266,893,124
  5. Step 5: Solve for x
    x = 13,266,893,124/76,999
  6. Step 6: Final answer
    x = 172,299.55

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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.