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Finding the Third Proportional to 211,640.50 and 288,212.75

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Solution

The third proportional to 211,640.50 and 288,212.75 is: 392,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,640.50 : 288,212.75 = 288,212.75 : x
  2. Step 2: Convert to fraction form
    211,640.50/288,212.75 = 288,212.75/x
  3. Step 3: Cross multiply
    211,640.50x = 288,212.75 × 288,212.75
  4. Step 4: Simplify right side
    211,640.50x = 83,066,589,262.56
  5. Step 5: Solve for x
    x = 83,066,589,262.56/211,640.50
  6. Step 6: Final answer
    x = 392,489.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.