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Finding the Third Proportional to 344,918.25 and 515,253.38

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Solution

The third proportional to 344,918.25 and 515,253.38 is: 769,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,918.25 : 515,253.38 = 515,253.38 : x
  2. Step 2: Convert to fraction form
    344,918.25/515,253.38 = 515,253.38/x
  3. Step 3: Cross multiply
    344,918.25x = 515,253.38 × 515,253.38
  4. Step 4: Simplify right side
    344,918.25x = 265,486,040,448.89
  5. Step 5: Solve for x
    x = 265,486,040,448.89/344,918.25
  6. Step 6: Final answer
    x = 769,707.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.