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Finding the Third Proportional to 9,638 and 14,420

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Solution

The third proportional to 9,638 and 14,420 is: 21,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638 : 14,420 = 14,420 : x
  2. Step 2: Convert to fraction form
    9,638/14,420 = 14,420/x
  3. Step 3: Cross multiply
    9,638x = 14,420 × 14,420
  4. Step 4: Simplify right side
    9,638x = 207,936,400
  5. Step 5: Solve for x
    x = 207,936,400/9,638
  6. Step 6: Final answer
    x = 21,574.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.