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Finding the Third Proportional to 100,286.63 and 220,257.38

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Solution

The third proportional to 100,286.63 and 220,257.38 is: 483,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,286.63 : 220,257.38 = 220,257.38 : x
  2. Step 2: Convert to fraction form
    100,286.63/220,257.38 = 220,257.38/x
  3. Step 3: Cross multiply
    100,286.63x = 220,257.38 × 220,257.38
  4. Step 4: Simplify right side
    100,286.63x = 48,513,311,241.89
  5. Step 5: Solve for x
    x = 48,513,311,241.89/100,286.63
  6. Step 6: Final answer
    x = 483,746.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.