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Finding the Third Proportional to 6,489 and 12,690

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Solution

The third proportional to 6,489 and 12,690 is: 24,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 12,690 = 12,690 : x
  2. Step 2: Convert to fraction form
    6,489/12,690 = 12,690/x
  3. Step 3: Cross multiply
    6,489x = 12,690 × 12,690
  4. Step 4: Simplify right side
    6,489x = 161,036,100
  5. Step 5: Solve for x
    x = 161,036,100/6,489
  6. Step 6: Final answer
    x = 24,816.78

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.