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Finding the Third Proportional to 81,538.45 and 165,370.68

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Solution

The third proportional to 81,538.45 and 165,370.68 is: 335,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,538.45 : 165,370.68 = 165,370.68 : x
  2. Step 2: Convert to fraction form
    81,538.45/165,370.68 = 165,370.68/x
  3. Step 3: Cross multiply
    81,538.45x = 165,370.68 × 165,370.68
  4. Step 4: Simplify right side
    81,538.45x = 27,347,460,408.35
  5. Step 5: Solve for x
    x = 27,347,460,408.35/81,538.45
  6. Step 6: Final answer
    x = 335,393.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.