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Finding the Third Proportional to 216,349 and 322,723

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Solution

The third proportional to 216,349 and 322,723 is: 481,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,349 : 322,723 = 322,723 : x
  2. Step 2: Convert to fraction form
    216,349/322,723 = 322,723/x
  3. Step 3: Cross multiply
    216,349x = 322,723 × 322,723
  4. Step 4: Simplify right side
    216,349x = 104,150,134,729
  5. Step 5: Solve for x
    x = 104,150,134,729/216,349
  6. Step 6: Final answer
    x = 481,398.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.