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Finding the Third Proportional to 149,857 and 321,089

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Solution

The third proportional to 149,857 and 321,089 is: 687,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,857 : 321,089 = 321,089 : x
  2. Step 2: Convert to fraction form
    149,857/321,089 = 321,089/x
  3. Step 3: Cross multiply
    149,857x = 321,089 × 321,089
  4. Step 4: Simplify right side
    149,857x = 103,098,145,921
  5. Step 5: Solve for x
    x = 103,098,145,921/149,857
  6. Step 6: Final answer
    x = 687,976.84

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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.