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Finding the Third Proportional to 71,518 and 84,694

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Solution

The third proportional to 71,518 and 84,694 is: 100,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,518 : 84,694 = 84,694 : x
  2. Step 2: Convert to fraction form
    71,518/84,694 = 84,694/x
  3. Step 3: Cross multiply
    71,518x = 84,694 × 84,694
  4. Step 4: Simplify right side
    71,518x = 7,173,073,636
  5. Step 5: Solve for x
    x = 7,173,073,636/71,518
  6. Step 6: Final answer
    x = 100,297.46

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.