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Finding the Third Proportional to 320,417 and 483,086

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Solution

The third proportional to 320,417 and 483,086 is: 728,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,417 : 483,086 = 483,086 : x
  2. Step 2: Convert to fraction form
    320,417/483,086 = 483,086/x
  3. Step 3: Cross multiply
    320,417x = 483,086 × 483,086
  4. Step 4: Simplify right side
    320,417x = 233,372,083,396
  5. Step 5: Solve for x
    x = 233,372,083,396/320,417
  6. Step 6: Final answer
    x = 728,338.64

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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.