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Finding the Third Proportional to 146,914 and 321,512

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Solution

The third proportional to 146,914 and 321,512 is: 703,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,914 : 321,512 = 321,512 : x
  2. Step 2: Convert to fraction form
    146,914/321,512 = 321,512/x
  3. Step 3: Cross multiply
    146,914x = 321,512 × 321,512
  4. Step 4: Simplify right side
    146,914x = 103,369,966,144
  5. Step 5: Solve for x
    x = 103,369,966,144/146,914
  6. Step 6: Final answer
    x = 703,608.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.