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Finding the Third Proportional to 76,278 and 177,162

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Solution

The third proportional to 76,278 and 177,162 is: 411,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,278 : 177,162 = 177,162 : x
  2. Step 2: Convert to fraction form
    76,278/177,162 = 177,162/x
  3. Step 3: Cross multiply
    76,278x = 177,162 × 177,162
  4. Step 4: Simplify right side
    76,278x = 31,386,374,244
  5. Step 5: Solve for x
    x = 31,386,374,244/76,278
  6. Step 6: Final answer
    x = 411,473.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.