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Finding the Third Proportional to 308,936.25 and 721,760.63

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Solution

The third proportional to 308,936.25 and 721,760.63 is: 1,686,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,936.25 : 721,760.63 = 721,760.63 : x
  2. Step 2: Convert to fraction form
    308,936.25/721,760.63 = 721,760.63/x
  3. Step 3: Cross multiply
    308,936.25x = 721,760.63 × 721,760.63
  4. Step 4: Simplify right side
    308,936.25x = 520,938,399,800.39
  5. Step 5: Solve for x
    x = 520,938,399,800.39/308,936.25
  6. Step 6: Final answer
    x = 1,686,232.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.