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Finding the Third Proportional to 170,694 and 258,399

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Solution

The third proportional to 170,694 and 258,399 is: 391,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,694 : 258,399 = 258,399 : x
  2. Step 2: Convert to fraction form
    170,694/258,399 = 258,399/x
  3. Step 3: Cross multiply
    170,694x = 258,399 × 258,399
  4. Step 4: Simplify right side
    170,694x = 66,770,043,201
  5. Step 5: Solve for x
    x = 66,770,043,201/170,694
  6. Step 6: Final answer
    x = 391,168.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.