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Finding the Third Proportional to 320,436 and 483,110

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Solution

The third proportional to 320,436 and 483,110 is: 728,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,436 : 483,110 = 483,110 : x
  2. Step 2: Convert to fraction form
    320,436/483,110 = 483,110/x
  3. Step 3: Cross multiply
    320,436x = 483,110 × 483,110
  4. Step 4: Simplify right side
    320,436x = 233,395,272,100
  5. Step 5: Solve for x
    x = 233,395,272,100/320,436
  6. Step 6: Final answer
    x = 728,367.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.