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Finding the Third Proportional to 320,419 and 483,089

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Solution

The third proportional to 320,419 and 483,089 is: 728,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,419 : 483,089 = 483,089 : x
  2. Step 2: Convert to fraction form
    320,419/483,089 = 483,089/x
  3. Step 3: Cross multiply
    320,419x = 483,089 × 483,089
  4. Step 4: Simplify right side
    320,419x = 233,374,981,921
  5. Step 5: Solve for x
    x = 233,374,981,921/320,419
  6. Step 6: Final answer
    x = 728,343.14

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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.