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Finding the Third Proportional to 188,642 and 285,401

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Solution

The third proportional to 188,642 and 285,401 is: 431,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,642 : 285,401 = 285,401 : x
  2. Step 2: Convert to fraction form
    188,642/285,401 = 285,401/x
  3. Step 3: Cross multiply
    188,642x = 285,401 × 285,401
  4. Step 4: Simplify right side
    188,642x = 81,453,730,801
  5. Step 5: Solve for x
    x = 81,453,730,801/188,642
  6. Step 6: Final answer
    x = 431,790.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.