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Finding the Third Proportional to 258,588 and 386,325

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Solution

The third proportional to 258,588 and 386,325 is: 577,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,588 : 386,325 = 386,325 : x
  2. Step 2: Convert to fraction form
    258,588/386,325 = 386,325/x
  3. Step 3: Cross multiply
    258,588x = 386,325 × 386,325
  4. Step 4: Simplify right side
    258,588x = 149,247,005,625
  5. Step 5: Solve for x
    x = 149,247,005,625/258,588
  6. Step 6: Final answer
    x = 577,161.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.