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Finding the Third Proportional to 320,856 and 367,512

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Solution

The third proportional to 320,856 and 367,512 is: 420,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,856 : 367,512 = 367,512 : x
  2. Step 2: Convert to fraction form
    320,856/367,512 = 367,512/x
  3. Step 3: Cross multiply
    320,856x = 367,512 × 367,512
  4. Step 4: Simplify right side
    320,856x = 135,065,070,144
  5. Step 5: Solve for x
    x = 135,065,070,144/320,856
  6. Step 6: Final answer
    x = 420,952.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.