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Finding the Third Proportional to 6,400 and 9,000

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Solution

The third proportional to 6,400 and 9,000 is: 12,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 9,000 = 9,000 : x
  2. Step 2: Convert to fraction form
    6,400/9,000 = 9,000/x
  3. Step 3: Cross multiply
    6,400x = 9,000 × 9,000
  4. Step 4: Simplify right side
    6,400x = 81,000,000
  5. Step 5: Solve for x
    x = 81,000,000/6,400
  6. Step 6: Final answer
    x = 12,656.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.