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Finding the Third Proportional to 308,606 and 480,954

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Solution

The third proportional to 308,606 and 480,954 is: 749,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,606 : 480,954 = 480,954 : x
  2. Step 2: Convert to fraction form
    308,606/480,954 = 480,954/x
  3. Step 3: Cross multiply
    308,606x = 480,954 × 480,954
  4. Step 4: Simplify right side
    308,606x = 231,316,750,116
  5. Step 5: Solve for x
    x = 231,316,750,116/308,606
  6. Step 6: Final answer
    x = 749,553.64

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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.