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Finding the Third Proportional to 71,682 and 113,880

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Solution

The third proportional to 71,682 and 113,880 is: 180,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682 : 113,880 = 113,880 : x
  2. Step 2: Convert to fraction form
    71,682/113,880 = 113,880/x
  3. Step 3: Cross multiply
    71,682x = 113,880 × 113,880
  4. Step 4: Simplify right side
    71,682x = 12,968,654,400
  5. Step 5: Solve for x
    x = 12,968,654,400/71,682
  6. Step 6: Final answer
    x = 180,919.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.