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Finding the Third Proportional to 30,286 and 71,825

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Solution

The third proportional to 30,286 and 71,825 is: 170,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286 : 71,825 = 71,825 : x
  2. Step 2: Convert to fraction form
    30,286/71,825 = 71,825/x
  3. Step 3: Cross multiply
    30,286x = 71,825 × 71,825
  4. Step 4: Simplify right side
    30,286x = 5,158,830,625
  5. Step 5: Solve for x
    x = 5,158,830,625/30,286
  6. Step 6: Final answer
    x = 170,337.14

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.