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Finding the Third Proportional to 72,086 and 165,920

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Solution

The third proportional to 72,086 and 165,920 is: 381,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,086 : 165,920 = 165,920 : x
  2. Step 2: Convert to fraction form
    72,086/165,920 = 165,920/x
  3. Step 3: Cross multiply
    72,086x = 165,920 × 165,920
  4. Step 4: Simplify right side
    72,086x = 27,529,446,400
  5. Step 5: Solve for x
    x = 27,529,446,400/72,086
  6. Step 6: Final answer
    x = 381,897.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.