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Finding the Third Proportional to 10,999 and 22,381

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Solution

The third proportional to 10,999 and 22,381 is: 45,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999 : 22,381 = 22,381 : x
  2. Step 2: Convert to fraction form
    10,999/22,381 = 22,381/x
  3. Step 3: Cross multiply
    10,999x = 22,381 × 22,381
  4. Step 4: Simplify right side
    10,999x = 500,909,161
  5. Step 5: Solve for x
    x = 500,909,161/10,999
  6. Step 6: Final answer
    x = 45,541.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.