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Finding the Third Proportional to 10,832 and 22,486

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Solution

The third proportional to 10,832 and 22,486 is: 46,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832 : 22,486 = 22,486 : x
  2. Step 2: Convert to fraction form
    10,832/22,486 = 22,486/x
  3. Step 3: Cross multiply
    10,832x = 22,486 × 22,486
  4. Step 4: Simplify right side
    10,832x = 505,620,196
  5. Step 5: Solve for x
    x = 505,620,196/10,832
  6. Step 6: Final answer
    x = 46,678.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.