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Finding the Third Proportional to 81,006 and 109,049

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Solution

The third proportional to 81,006 and 109,049 is: 146,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,006 : 109,049 = 109,049 : x
  2. Step 2: Convert to fraction form
    81,006/109,049 = 109,049/x
  3. Step 3: Cross multiply
    81,006x = 109,049 × 109,049
  4. Step 4: Simplify right side
    81,006x = 11,891,684,401
  5. Step 5: Solve for x
    x = 11,891,684,401/81,006
  6. Step 6: Final answer
    x = 146,800.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.