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Finding the Third Proportional to 138,661 and 213,865

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Solution

The third proportional to 138,661 and 213,865 is: 329,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,661 : 213,865 = 213,865 : x
  2. Step 2: Convert to fraction form
    138,661/213,865 = 213,865/x
  3. Step 3: Cross multiply
    138,661x = 213,865 × 213,865
  4. Step 4: Simplify right side
    138,661x = 45,738,238,225
  5. Step 5: Solve for x
    x = 45,738,238,225/138,661
  6. Step 6: Final answer
    x = 329,856.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.