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Finding the Third Proportional to 218,100 and 309,288

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Solution

The third proportional to 218,100 and 309,288 is: 438,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,100 : 309,288 = 309,288 : x
  2. Step 2: Convert to fraction form
    218,100/309,288 = 309,288/x
  3. Step 3: Cross multiply
    218,100x = 309,288 × 309,288
  4. Step 4: Simplify right side
    218,100x = 95,659,066,944
  5. Step 5: Solve for x
    x = 95,659,066,944/218,100
  6. Step 6: Final answer
    x = 438,601.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.