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Finding the Third Proportional to 149,159 and 216,694

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Solution

The third proportional to 149,159 and 216,694 is: 314,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,159 : 216,694 = 216,694 : x
  2. Step 2: Convert to fraction form
    149,159/216,694 = 216,694/x
  3. Step 3: Cross multiply
    149,159x = 216,694 × 216,694
  4. Step 4: Simplify right side
    149,159x = 46,956,289,636
  5. Step 5: Solve for x
    x = 46,956,289,636/149,159
  6. Step 6: Final answer
    x = 314,806.95

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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.