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Finding the Third Proportional to 100,373 and 218,245

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Solution

The third proportional to 100,373 and 218,245 is: 474,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,373 : 218,245 = 218,245 : x
  2. Step 2: Convert to fraction form
    100,373/218,245 = 218,245/x
  3. Step 3: Cross multiply
    100,373x = 218,245 × 218,245
  4. Step 4: Simplify right side
    100,373x = 47,630,880,025
  5. Step 5: Solve for x
    x = 47,630,880,025/100,373
  6. Step 6: Final answer
    x = 474,538.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.