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Finding the Third Proportional to 21,517 and 45,004

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Solution

The third proportional to 21,517 and 45,004 is: 94,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517 : 45,004 = 45,004 : x
  2. Step 2: Convert to fraction form
    21,517/45,004 = 45,004/x
  3. Step 3: Cross multiply
    21,517x = 45,004 × 45,004
  4. Step 4: Simplify right side
    21,517x = 2,025,360,016
  5. Step 5: Solve for x
    x = 2,025,360,016/21,517
  6. Step 6: Final answer
    x = 94,128.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.