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Finding the Third Proportional to 20,141.25 and 44,170.50

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Solution

The third proportional to 20,141.25 and 44,170.50 is: 96,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.25 : 44,170.50 = 44,170.50 : x
  2. Step 2: Convert to fraction form
    20,141.25/44,170.50 = 44,170.50/x
  3. Step 3: Cross multiply
    20,141.25x = 44,170.50 × 44,170.50
  4. Step 4: Simplify right side
    20,141.25x = 1,951,033,070.25
  5. Step 5: Solve for x
    x = 1,951,033,070.25/20,141.25
  6. Step 6: Final answer
    x = 96,867.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.