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Finding the Third Proportional to 5,205 and 11,471

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Solution

The third proportional to 5,205 and 11,471 is: 25,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205 : 11,471 = 11,471 : x
  2. Step 2: Convert to fraction form
    5,205/11,471 = 11,471/x
  3. Step 3: Cross multiply
    5,205x = 11,471 × 11,471
  4. Step 4: Simplify right side
    5,205x = 131,583,841
  5. Step 5: Solve for x
    x = 131,583,841/5,205
  6. Step 6: Final answer
    x = 25,280.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.