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Finding the Third Proportional to 31,206 and 71,679

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Solution

The third proportional to 31,206 and 71,679 is: 164,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206 : 71,679 = 71,679 : x
  2. Step 2: Convert to fraction form
    31,206/71,679 = 71,679/x
  3. Step 3: Cross multiply
    31,206x = 71,679 × 71,679
  4. Step 4: Simplify right side
    31,206x = 5,137,879,041
  5. Step 5: Solve for x
    x = 5,137,879,041/31,206
  6. Step 6: Final answer
    x = 164,643.95

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.