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Finding the Third Proportional to 136,581 and 214,256

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Solution

The third proportional to 136,581 and 214,256 is: 336,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,581 : 214,256 = 214,256 : x
  2. Step 2: Convert to fraction form
    136,581/214,256 = 214,256/x
  3. Step 3: Cross multiply
    136,581x = 214,256 × 214,256
  4. Step 4: Simplify right side
    136,581x = 45,905,633,536
  5. Step 5: Solve for x
    x = 45,905,633,536/136,581
  6. Step 6: Final answer
    x = 336,105.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.