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Finding the Third Proportional to 308,256 and 451,716

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Solution

The third proportional to 308,256 and 451,716 is: 661,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,256 : 451,716 = 451,716 : x
  2. Step 2: Convert to fraction form
    308,256/451,716 = 451,716/x
  3. Step 3: Cross multiply
    308,256x = 451,716 × 451,716
  4. Step 4: Simplify right side
    308,256x = 204,047,344,656
  5. Step 5: Solve for x
    x = 204,047,344,656/308,256
  6. Step 6: Final answer
    x = 661,941.19

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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.