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Finding the Third Proportional to 6,400 and 8,619

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Solution

The third proportional to 6,400 and 8,619 is: 11,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 8,619 = 8,619 : x
  2. Step 2: Convert to fraction form
    6,400/8,619 = 8,619/x
  3. Step 3: Cross multiply
    6,400x = 8,619 × 8,619
  4. Step 4: Simplify right side
    6,400x = 74,287,161
  5. Step 5: Solve for x
    x = 74,287,161/6,400
  6. Step 6: Final answer
    x = 11,607.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.