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Finding the Third Proportional to 339,822 and 731,718

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Solution

The third proportional to 339,822 and 731,718 is: 1,575,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,822 : 731,718 = 731,718 : x
  2. Step 2: Convert to fraction form
    339,822/731,718 = 731,718/x
  3. Step 3: Cross multiply
    339,822x = 731,718 × 731,718
  4. Step 4: Simplify right side
    339,822x = 535,411,231,524
  5. Step 5: Solve for x
    x = 535,411,231,524/339,822
  6. Step 6: Final answer
    x = 1,575,563.77

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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.