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Finding the Third Proportional to 4,384 and 9,620

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Solution

The third proportional to 4,384 and 9,620 is: 21,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384 : 9,620 = 9,620 : x
  2. Step 2: Convert to fraction form
    4,384/9,620 = 9,620/x
  3. Step 3: Cross multiply
    4,384x = 9,620 × 9,620
  4. Step 4: Simplify right side
    4,384x = 92,544,400
  5. Step 5: Solve for x
    x = 92,544,400/4,384
  6. Step 6: Final answer
    x = 21,109.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.