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Finding the Third Proportional to 76,677 and 165,018

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Solution

The third proportional to 76,677 and 165,018 is: 355,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677 : 165,018 = 165,018 : x
  2. Step 2: Convert to fraction form
    76,677/165,018 = 165,018/x
  3. Step 3: Cross multiply
    76,677x = 165,018 × 165,018
  4. Step 4: Simplify right side
    76,677x = 27,230,940,324
  5. Step 5: Solve for x
    x = 27,230,940,324/76,677
  6. Step 6: Final answer
    x = 355,138.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.