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Finding the Third Proportional to 30,286 and 45,976

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Solution

The third proportional to 30,286 and 45,976 is: 69,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286 : 45,976 = 45,976 : x
  2. Step 2: Convert to fraction form
    30,286/45,976 = 45,976/x
  3. Step 3: Cross multiply
    30,286x = 45,976 × 45,976
  4. Step 4: Simplify right side
    30,286x = 2,113,792,576
  5. Step 5: Solve for x
    x = 2,113,792,576/30,286
  6. Step 6: Final answer
    x = 69,794.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.