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Finding the Third Proportional to 149,734 and 321,374

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Solution

The third proportional to 149,734 and 321,374 is: 689,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,734 : 321,374 = 321,374 : x
  2. Step 2: Convert to fraction form
    149,734/321,374 = 321,374/x
  3. Step 3: Cross multiply
    149,734x = 321,374 × 321,374
  4. Step 4: Simplify right side
    149,734x = 103,281,247,876
  5. Step 5: Solve for x
    x = 103,281,247,876/149,734
  6. Step 6: Final answer
    x = 689,764.84

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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.