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Finding the Third Proportional to 80,536 and 177,178

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Solution

The third proportional to 80,536 and 177,178 is: 389,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,536 : 177,178 = 177,178 : x
  2. Step 2: Convert to fraction form
    80,536/177,178 = 177,178/x
  3. Step 3: Cross multiply
    80,536x = 177,178 × 177,178
  4. Step 4: Simplify right side
    80,536x = 31,392,043,684
  5. Step 5: Solve for x
    x = 31,392,043,684/80,536
  6. Step 6: Final answer
    x = 389,788.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.