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Finding the Third Proportional to 20,300 and 44,279.50

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Solution

The third proportional to 20,300 and 44,279.50 is: 96,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,300 : 44,279.50 = 44,279.50 : x
  2. Step 2: Convert to fraction form
    20,300/44,279.50 = 44,279.50/x
  3. Step 3: Cross multiply
    20,300x = 44,279.50 × 44,279.50
  4. Step 4: Simplify right side
    20,300x = 1,960,674,120.25
  5. Step 5: Solve for x
    x = 1,960,674,120.25/20,300
  6. Step 6: Final answer
    x = 96,584.93

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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.