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Finding the Third Proportional to 10,485 and 21,456

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Solution

The third proportional to 10,485 and 21,456 is: 43,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485 : 21,456 = 21,456 : x
  2. Step 2: Convert to fraction form
    10,485/21,456 = 21,456/x
  3. Step 3: Cross multiply
    10,485x = 21,456 × 21,456
  4. Step 4: Simplify right side
    10,485x = 460,359,936
  5. Step 5: Solve for x
    x = 460,359,936/10,485
  6. Step 6: Final answer
    x = 43,906.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.