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Finding the Third Proportional to 6,400 and 13,688

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Solution

The third proportional to 6,400 and 13,688 is: 29,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 13,688 = 13,688 : x
  2. Step 2: Convert to fraction form
    6,400/13,688 = 13,688/x
  3. Step 3: Cross multiply
    6,400x = 13,688 × 13,688
  4. Step 4: Simplify right side
    6,400x = 187,361,344
  5. Step 5: Solve for x
    x = 187,361,344/6,400
  6. Step 6: Final answer
    x = 29,275.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.