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Finding the Third Proportional to 136,425 and 321,593

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Solution

The third proportional to 136,425 and 321,593 is: 758,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,425 : 321,593 = 321,593 : x
  2. Step 2: Convert to fraction form
    136,425/321,593 = 321,593/x
  3. Step 3: Cross multiply
    136,425x = 321,593 × 321,593
  4. Step 4: Simplify right side
    136,425x = 103,422,057,649
  5. Step 5: Solve for x
    x = 103,422,057,649/136,425
  6. Step 6: Final answer
    x = 758,087.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.