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Finding the Third Proportional to 81,010 and 109,055

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Solution

The third proportional to 81,010 and 109,055 is: 146,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,010 : 109,055 = 109,055 : x
  2. Step 2: Convert to fraction form
    81,010/109,055 = 109,055/x
  3. Step 3: Cross multiply
    81,010x = 109,055 × 109,055
  4. Step 4: Simplify right side
    81,010x = 11,892,993,025
  5. Step 5: Solve for x
    x = 11,892,993,025/81,010
  6. Step 6: Final answer
    x = 146,808.95

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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.