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Finding the Third Proportional to 138,724 and 214,676

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Solution

The third proportional to 138,724 and 214,676 is: 332,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,724 : 214,676 = 214,676 : x
  2. Step 2: Convert to fraction form
    138,724/214,676 = 214,676/x
  3. Step 3: Cross multiply
    138,724x = 214,676 × 214,676
  4. Step 4: Simplify right side
    138,724x = 46,085,784,976
  5. Step 5: Solve for x
    x = 46,085,784,976/138,724
  6. Step 6: Final answer
    x = 332,212.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.