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Finding the Third Proportional to 149,022 and 209,317

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Solution

The third proportional to 149,022 and 209,317 is: 294,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,022 : 209,317 = 209,317 : x
  2. Step 2: Convert to fraction form
    149,022/209,317 = 209,317/x
  3. Step 3: Cross multiply
    149,022x = 209,317 × 209,317
  4. Step 4: Simplify right side
    149,022x = 43,813,606,489
  5. Step 5: Solve for x
    x = 43,813,606,489/149,022
  6. Step 6: Final answer
    x = 294,007.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.