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Finding the Third Proportional to 76,616 and 115,016

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Solution

The third proportional to 76,616 and 115,016 is: 172,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,616 : 115,016 = 115,016 : x
  2. Step 2: Convert to fraction form
    76,616/115,016 = 115,016/x
  3. Step 3: Cross multiply
    76,616x = 115,016 × 115,016
  4. Step 4: Simplify right side
    76,616x = 13,228,680,256
  5. Step 5: Solve for x
    x = 13,228,680,256/76,616
  6. Step 6: Final answer
    x = 172,662.11

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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.