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Finding the Third Proportional to 20,490 and 44,121

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Solution

The third proportional to 20,490 and 44,121 is: 95,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,490 : 44,121 = 44,121 : x
  2. Step 2: Convert to fraction form
    20,490/44,121 = 44,121/x
  3. Step 3: Cross multiply
    20,490x = 44,121 × 44,121
  4. Step 4: Simplify right side
    20,490x = 1,946,662,641
  5. Step 5: Solve for x
    x = 1,946,662,641/20,490
  6. Step 6: Final answer
    x = 95,005.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.