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Finding the Third Proportional to 218,494 and 295,203

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Solution

The third proportional to 218,494 and 295,203 is: 398,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,494 : 295,203 = 295,203 : x
  2. Step 2: Convert to fraction form
    218,494/295,203 = 295,203/x
  3. Step 3: Cross multiply
    218,494x = 295,203 × 295,203
  4. Step 4: Simplify right side
    218,494x = 87,144,811,209
  5. Step 5: Solve for x
    x = 87,144,811,209/218,494
  6. Step 6: Final answer
    x = 398,843.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.