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Finding the Third Proportional to 80,512 and 189,442

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Solution

The third proportional to 80,512 and 189,442 is: 445,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,512 : 189,442 = 189,442 : x
  2. Step 2: Convert to fraction form
    80,512/189,442 = 189,442/x
  3. Step 3: Cross multiply
    80,512x = 189,442 × 189,442
  4. Step 4: Simplify right side
    80,512x = 35,888,271,364
  5. Step 5: Solve for x
    x = 35,888,271,364/80,512
  6. Step 6: Final answer
    x = 445,750.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.