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Finding the Third Proportional to 76,556 and 117,276

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Solution

The third proportional to 76,556 and 117,276 is: 179,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,556 : 117,276 = 117,276 : x
  2. Step 2: Convert to fraction form
    76,556/117,276 = 117,276/x
  3. Step 3: Cross multiply
    76,556x = 117,276 × 117,276
  4. Step 4: Simplify right side
    76,556x = 13,753,660,176
  5. Step 5: Solve for x
    x = 13,753,660,176/76,556
  6. Step 6: Final answer
    x = 179,654.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.