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Finding the Third Proportional to 6,525 and 13,890

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Solution

The third proportional to 6,525 and 13,890 is: 29,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525 : 13,890 = 13,890 : x
  2. Step 2: Convert to fraction form
    6,525/13,890 = 13,890/x
  3. Step 3: Cross multiply
    6,525x = 13,890 × 13,890
  4. Step 4: Simplify right side
    6,525x = 192,932,100
  5. Step 5: Solve for x
    x = 192,932,100/6,525
  6. Step 6: Final answer
    x = 29,568.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.