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Finding the Third Proportional to 80,889 and 168,236

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Solution

The third proportional to 80,889 and 168,236 is: 349,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,889 : 168,236 = 168,236 : x
  2. Step 2: Convert to fraction form
    80,889/168,236 = 168,236/x
  3. Step 3: Cross multiply
    80,889x = 168,236 × 168,236
  4. Step 4: Simplify right side
    80,889x = 28,303,351,696
  5. Step 5: Solve for x
    x = 28,303,351,696/80,889
  6. Step 6: Final answer
    x = 349,903.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.