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Finding the Third Proportional to 85,862 and 188,851

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Solution

The third proportional to 85,862 and 188,851 is: 415,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,862 : 188,851 = 188,851 : x
  2. Step 2: Convert to fraction form
    85,862/188,851 = 188,851/x
  3. Step 3: Cross multiply
    85,862x = 188,851 × 188,851
  4. Step 4: Simplify right side
    85,862x = 35,664,700,201
  5. Step 5: Solve for x
    x = 35,664,700,201/85,862
  6. Step 6: Final answer
    x = 415,372.34

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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.