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Finding the Third Proportional to 10,288 and 22,477

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Solution

The third proportional to 10,288 and 22,477 is: 49,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288 : 22,477 = 22,477 : x
  2. Step 2: Convert to fraction form
    10,288/22,477 = 22,477/x
  3. Step 3: Cross multiply
    10,288x = 22,477 × 22,477
  4. Step 4: Simplify right side
    10,288x = 505,215,529
  5. Step 5: Solve for x
    x = 505,215,529/10,288
  6. Step 6: Final answer
    x = 49,107.26

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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.