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Finding the Third Proportional to 216,309 and 322,668

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Solution

The third proportional to 216,309 and 322,668 is: 481,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,309 : 322,668 = 322,668 : x
  2. Step 2: Convert to fraction form
    216,309/322,668 = 322,668/x
  3. Step 3: Cross multiply
    216,309x = 322,668 × 322,668
  4. Step 4: Simplify right side
    216,309x = 104,114,638,224
  5. Step 5: Solve for x
    x = 104,114,638,224/216,309
  6. Step 6: Final answer
    x = 481,323.65

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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.