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Finding the Third Proportional to 85,028 and 138,616

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Solution

The third proportional to 85,028 and 138,616 is: 225,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,028 : 138,616 = 138,616 : x
  2. Step 2: Convert to fraction form
    85,028/138,616 = 138,616/x
  3. Step 3: Cross multiply
    85,028x = 138,616 × 138,616
  4. Step 4: Simplify right side
    85,028x = 19,214,395,456
  5. Step 5: Solve for x
    x = 19,214,395,456/85,028
  6. Step 6: Final answer
    x = 225,977.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.