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Finding the Third Proportional to 149,908 and 321,068

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Solution

The third proportional to 149,908 and 321,068 is: 687,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,908 : 321,068 = 321,068 : x
  2. Step 2: Convert to fraction form
    149,908/321,068 = 321,068/x
  3. Step 3: Cross multiply
    149,908x = 321,068 × 321,068
  4. Step 4: Simplify right side
    149,908x = 103,084,660,624
  5. Step 5: Solve for x
    x = 103,084,660,624/149,908
  6. Step 6: Final answer
    x = 687,652.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.