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Finding the Third Proportional to 3,126 and 5,400

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Solution

The third proportional to 3,126 and 5,400 is: 9,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126 : 5,400 = 5,400 : x
  2. Step 2: Convert to fraction form
    3,126/5,400 = 5,400/x
  3. Step 3: Cross multiply
    3,126x = 5,400 × 5,400
  4. Step 4: Simplify right side
    3,126x = 29,160,000
  5. Step 5: Solve for x
    x = 29,160,000/3,126
  6. Step 6: Final answer
    x = 9,328.21

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.