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Finding the Third Proportional to 6,404 and 8,648

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Solution

The third proportional to 6,404 and 8,648 is: 11,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404 : 8,648 = 8,648 : x
  2. Step 2: Convert to fraction form
    6,404/8,648 = 8,648/x
  3. Step 3: Cross multiply
    6,404x = 8,648 × 8,648
  4. Step 4: Simplify right side
    6,404x = 74,787,904
  5. Step 5: Solve for x
    x = 74,787,904/6,404
  6. Step 6: Final answer
    x = 11,678.31

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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.