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Finding the Third Proportional to 72,692 and 154,187

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Solution

The third proportional to 72,692 and 154,187 is: 327,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,692 : 154,187 = 154,187 : x
  2. Step 2: Convert to fraction form
    72,692/154,187 = 154,187/x
  3. Step 3: Cross multiply
    72,692x = 154,187 × 154,187
  4. Step 4: Simplify right side
    72,692x = 23,773,630,969
  5. Step 5: Solve for x
    x = 23,773,630,969/72,692
  6. Step 6: Final answer
    x = 327,046.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.