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Finding the Third Proportional to 71,340 and 110,400

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Solution

The third proportional to 71,340 and 110,400 is: 170,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,340 : 110,400 = 110,400 : x
  2. Step 2: Convert to fraction form
    71,340/110,400 = 110,400/x
  3. Step 3: Cross multiply
    71,340x = 110,400 × 110,400
  4. Step 4: Simplify right side
    71,340x = 12,188,160,000
  5. Step 5: Solve for x
    x = 12,188,160,000/71,340
  6. Step 6: Final answer
    x = 170,846.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.