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Finding the Third Proportional to 170,719 and 258,425

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Solution

The third proportional to 170,719 and 258,425 is: 391,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,719 : 258,425 = 258,425 : x
  2. Step 2: Convert to fraction form
    170,719/258,425 = 258,425/x
  3. Step 3: Cross multiply
    170,719x = 258,425 × 258,425
  4. Step 4: Simplify right side
    170,719x = 66,783,480,625
  5. Step 5: Solve for x
    x = 66,783,480,625/170,719
  6. Step 6: Final answer
    x = 391,189.50

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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.