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Finding the Third Proportional to 308,082 and 451,448

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Solution

The third proportional to 308,082 and 451,448 is: 661,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,082 : 451,448 = 451,448 : x
  2. Step 2: Convert to fraction form
    308,082/451,448 = 451,448/x
  3. Step 3: Cross multiply
    308,082x = 451,448 × 451,448
  4. Step 4: Simplify right side
    308,082x = 203,805,296,704
  5. Step 5: Solve for x
    x = 203,805,296,704/308,082
  6. Step 6: Final answer
    x = 661,529.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.