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Finding the Third Proportional to 10,809 and 23,463

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Solution

The third proportional to 10,809 and 23,463 is: 50,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 23,463 = 23,463 : x
  2. Step 2: Convert to fraction form
    10,809/23,463 = 23,463/x
  3. Step 3: Cross multiply
    10,809x = 23,463 × 23,463
  4. Step 4: Simplify right side
    10,809x = 550,512,369
  5. Step 5: Solve for x
    x = 550,512,369/10,809
  6. Step 6: Final answer
    x = 50,930.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.