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Finding the Third Proportional to 138,030 and 194,325

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Solution

The third proportional to 138,030 and 194,325 is: 273,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,030 : 194,325 = 194,325 : x
  2. Step 2: Convert to fraction form
    138,030/194,325 = 194,325/x
  3. Step 3: Cross multiply
    138,030x = 194,325 × 194,325
  4. Step 4: Simplify right side
    138,030x = 37,762,205,625
  5. Step 5: Solve for x
    x = 37,762,205,625/138,030
  6. Step 6: Final answer
    x = 273,579.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.