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Finding the Third Proportional to 339,810.19 and 731,691.56

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Solution

The third proportional to 339,810.19 and 731,691.56 is: 1,575,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,810.19 : 731,691.56 = 731,691.56 : x
  2. Step 2: Convert to fraction form
    339,810.19/731,691.56 = 731,691.56/x
  3. Step 3: Cross multiply
    339,810.19x = 731,691.56 × 731,691.56
  4. Step 4: Simplify right side
    339,810.19x = 535,372,542,633.69
  5. Step 5: Solve for x
    x = 535,372,542,633.69/339,810.19
  6. Step 6: Final answer
    x = 1,575,504.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.