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Finding the Third Proportional to 10,833 and 23,349

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Solution

The third proportional to 10,833 and 23,349 is: 50,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833 : 23,349 = 23,349 : x
  2. Step 2: Convert to fraction form
    10,833/23,349 = 23,349/x
  3. Step 3: Cross multiply
    10,833x = 23,349 × 23,349
  4. Step 4: Simplify right side
    10,833x = 545,175,801
  5. Step 5: Solve for x
    x = 545,175,801/10,833
  6. Step 6: Final answer
    x = 50,325.47

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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.