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Finding the Third Proportional to 327,816 and 720,666

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Solution

The third proportional to 327,816 and 720,666 is: 1,584,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,816 : 720,666 = 720,666 : x
  2. Step 2: Convert to fraction form
    327,816/720,666 = 720,666/x
  3. Step 3: Cross multiply
    327,816x = 720,666 × 720,666
  4. Step 4: Simplify right side
    327,816x = 519,359,483,556
  5. Step 5: Solve for x
    x = 519,359,483,556/327,816
  6. Step 6: Final answer
    x = 1,584,301.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.