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Finding the Third Proportional to 5,385 and 11,620

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Solution

The third proportional to 5,385 and 11,620 is: 25,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385 : 11,620 = 11,620 : x
  2. Step 2: Convert to fraction form
    5,385/11,620 = 11,620/x
  3. Step 3: Cross multiply
    5,385x = 11,620 × 11,620
  4. Step 4: Simplify right side
    5,385x = 135,024,400
  5. Step 5: Solve for x
    x = 135,024,400/5,385
  6. Step 6: Final answer
    x = 25,074.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.