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Finding the Third Proportional to 2,753 and 3,750

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Solution

The third proportional to 2,753 and 3,750 is: 5,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753 : 3,750 = 3,750 : x
  2. Step 2: Convert to fraction form
    2,753/3,750 = 3,750/x
  3. Step 3: Cross multiply
    2,753x = 3,750 × 3,750
  4. Step 4: Simplify right side
    2,753x = 14,062,500
  5. Step 5: Solve for x
    x = 14,062,500/2,753
  6. Step 6: Final answer
    x = 5,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.