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Finding the Third Proportional to 76,878 and 116,873

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Solution

The third proportional to 76,878 and 116,873 is: 177,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878 : 116,873 = 116,873 : x
  2. Step 2: Convert to fraction form
    76,878/116,873 = 116,873/x
  3. Step 3: Cross multiply
    76,878x = 116,873 × 116,873
  4. Step 4: Simplify right side
    76,878x = 13,659,298,129
  5. Step 5: Solve for x
    x = 13,659,298,129/76,878
  6. Step 6: Final answer
    x = 177,674.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.