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Finding the Third Proportional to 165,704 and 259,220

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Solution

The third proportional to 165,704 and 259,220 is: 405,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,704 : 259,220 = 259,220 : x
  2. Step 2: Convert to fraction form
    165,704/259,220 = 259,220/x
  3. Step 3: Cross multiply
    165,704x = 259,220 × 259,220
  4. Step 4: Simplify right side
    165,704x = 67,195,008,400
  5. Step 5: Solve for x
    x = 67,195,008,400/165,704
  6. Step 6: Final answer
    x = 405,512.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.