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Finding the Third Proportional to 138,692 and 203,101

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Solution

The third proportional to 138,692 and 203,101 is: 297,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,692 : 203,101 = 203,101 : x
  2. Step 2: Convert to fraction form
    138,692/203,101 = 203,101/x
  3. Step 3: Cross multiply
    138,692x = 203,101 × 203,101
  4. Step 4: Simplify right side
    138,692x = 41,250,016,201
  5. Step 5: Solve for x
    x = 41,250,016,201/138,692
  6. Step 6: Final answer
    x = 297,421.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.