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Finding the Third Proportional to 165,717 and 259,239

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Solution

The third proportional to 165,717 and 259,239 is: 405,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,717 : 259,239 = 259,239 : x
  2. Step 2: Convert to fraction form
    165,717/259,239 = 259,239/x
  3. Step 3: Cross multiply
    165,717x = 259,239 × 259,239
  4. Step 4: Simplify right side
    165,717x = 67,204,859,121
  5. Step 5: Solve for x
    x = 67,204,859,121/165,717
  6. Step 6: Final answer
    x = 405,539.92

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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.