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Finding the Third Proportional to 339,228 and 731,862

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Solution

The third proportional to 339,228 and 731,862 is: 1,578,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,228 : 731,862 = 731,862 : x
  2. Step 2: Convert to fraction form
    339,228/731,862 = 731,862/x
  3. Step 3: Cross multiply
    339,228x = 731,862 × 731,862
  4. Step 4: Simplify right side
    339,228x = 535,621,987,044
  5. Step 5: Solve for x
    x = 535,621,987,044/339,228
  6. Step 6: Final answer
    x = 1,578,943.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.