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Finding the Third Proportional to 10,775 and 23,489

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Solution

The third proportional to 10,775 and 23,489 is: 51,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775 : 23,489 = 23,489 : x
  2. Step 2: Convert to fraction form
    10,775/23,489 = 23,489/x
  3. Step 3: Cross multiply
    10,775x = 23,489 × 23,489
  4. Step 4: Simplify right side
    10,775x = 551,733,121
  5. Step 5: Solve for x
    x = 551,733,121/10,775
  6. Step 6: Final answer
    x = 51,204.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.