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Finding the Third Proportional to 188,712 and 275,286

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Solution

The third proportional to 188,712 and 275,286 is: 401,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,712 : 275,286 = 275,286 : x
  2. Step 2: Convert to fraction form
    188,712/275,286 = 275,286/x
  3. Step 3: Cross multiply
    188,712x = 275,286 × 275,286
  4. Step 4: Simplify right side
    188,712x = 75,782,381,796
  5. Step 5: Solve for x
    x = 75,782,381,796/188,712
  6. Step 6: Final answer
    x = 401,576.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.