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Finding the Third Proportional to 20,420 and 44,486

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Solution

The third proportional to 20,420 and 44,486 is: 96,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420 : 44,486 = 44,486 : x
  2. Step 2: Convert to fraction form
    20,420/44,486 = 44,486/x
  3. Step 3: Cross multiply
    20,420x = 44,486 × 44,486
  4. Step 4: Simplify right side
    20,420x = 1,979,004,196
  5. Step 5: Solve for x
    x = 1,979,004,196/20,420
  6. Step 6: Final answer
    x = 96,914.99

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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.