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Finding the Third Proportional to 3,092.50 and 6,753

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Solution

The third proportional to 3,092.50 and 6,753 is: 14,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.50 : 6,753 = 6,753 : x
  2. Step 2: Convert to fraction form
    3,092.50/6,753 = 6,753/x
  3. Step 3: Cross multiply
    3,092.50x = 6,753 × 6,753
  4. Step 4: Simplify right side
    3,092.50x = 45,603,009
  5. Step 5: Solve for x
    x = 45,603,009/3,092.50
  6. Step 6: Final answer
    x = 14,746.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.