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Finding the Third Proportional to 149,736 and 321,378

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Solution

The third proportional to 149,736 and 321,378 is: 689,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,736 : 321,378 = 321,378 : x
  2. Step 2: Convert to fraction form
    149,736/321,378 = 321,378/x
  3. Step 3: Cross multiply
    149,736x = 321,378 × 321,378
  4. Step 4: Simplify right side
    149,736x = 103,283,818,884
  5. Step 5: Solve for x
    x = 103,283,818,884/149,736
  6. Step 6: Final answer
    x = 689,772.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.