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Finding the Third Proportional to 6,400 and 15,388

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Solution

The third proportional to 6,400 and 15,388 is: 36,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 15,388 = 15,388 : x
  2. Step 2: Convert to fraction form
    6,400/15,388 = 15,388/x
  3. Step 3: Cross multiply
    6,400x = 15,388 × 15,388
  4. Step 4: Simplify right side
    6,400x = 236,790,544
  5. Step 5: Solve for x
    x = 236,790,544/6,400
  6. Step 6: Final answer
    x = 36,998.52

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.