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Finding the Third Proportional to 76,852 and 115,278

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Solution

The third proportional to 76,852 and 115,278 is: 172,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852 : 115,278 = 115,278 : x
  2. Step 2: Convert to fraction form
    76,852/115,278 = 115,278/x
  3. Step 3: Cross multiply
    76,852x = 115,278 × 115,278
  4. Step 4: Simplify right side
    76,852x = 13,289,017,284
  5. Step 5: Solve for x
    x = 13,289,017,284/76,852
  6. Step 6: Final answer
    x = 172,917

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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.