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Finding the Third Proportional to 308,601 and 480,945

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Solution

The third proportional to 308,601 and 480,945 is: 749,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,601 : 480,945 = 480,945 : x
  2. Step 2: Convert to fraction form
    308,601/480,945 = 480,945/x
  3. Step 3: Cross multiply
    308,601x = 480,945 × 480,945
  4. Step 4: Simplify right side
    308,601x = 231,308,093,025
  5. Step 5: Solve for x
    x = 231,308,093,025/308,601
  6. Step 6: Final answer
    x = 749,537.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.