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Finding the Third Proportional to 149,194 and 315,668

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Solution

The third proportional to 149,194 and 315,668 is: 667,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,194 : 315,668 = 315,668 : x
  2. Step 2: Convert to fraction form
    149,194/315,668 = 315,668/x
  3. Step 3: Cross multiply
    149,194x = 315,668 × 315,668
  4. Step 4: Simplify right side
    149,194x = 99,646,286,224
  5. Step 5: Solve for x
    x = 99,646,286,224/149,194
  6. Step 6: Final answer
    x = 667,897.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.