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Finding the Third Proportional to 73,450 and 106,719

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Solution

The third proportional to 73,450 and 106,719 is: 155,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,450 : 106,719 = 106,719 : x
  2. Step 2: Convert to fraction form
    73,450/106,719 = 106,719/x
  3. Step 3: Cross multiply
    73,450x = 106,719 × 106,719
  4. Step 4: Simplify right side
    73,450x = 11,388,944,961
  5. Step 5: Solve for x
    x = 11,388,944,961/73,450
  6. Step 6: Final answer
    x = 155,057.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.