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Finding the Third Proportional to 149,022 and 317,727

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Solution

The third proportional to 149,022 and 317,727 is: 677,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,022 : 317,727 = 317,727 : x
  2. Step 2: Convert to fraction form
    149,022/317,727 = 317,727/x
  3. Step 3: Cross multiply
    149,022x = 317,727 × 317,727
  4. Step 4: Simplify right side
    149,022x = 100,950,446,529
  5. Step 5: Solve for x
    x = 100,950,446,529/149,022
  6. Step 6: Final answer
    x = 677,419.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.