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Finding the Third Proportional to 339,369 and 731,190

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Solution

The third proportional to 339,369 and 731,190 is: 1,575,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,369 : 731,190 = 731,190 : x
  2. Step 2: Convert to fraction form
    339,369/731,190 = 731,190/x
  3. Step 3: Cross multiply
    339,369x = 731,190 × 731,190
  4. Step 4: Simplify right side
    339,369x = 534,638,816,100
  5. Step 5: Solve for x
    x = 534,638,816,100/339,369
  6. Step 6: Final answer
    x = 1,575,390.85

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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.