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Finding the Third Proportional to 338,941 and 722,918

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Solution

The third proportional to 338,941 and 722,918 is: 1,541,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,941 : 722,918 = 722,918 : x
  2. Step 2: Convert to fraction form
    338,941/722,918 = 722,918/x
  3. Step 3: Cross multiply
    338,941x = 722,918 × 722,918
  4. Step 4: Simplify right side
    338,941x = 522,610,434,724
  5. Step 5: Solve for x
    x = 522,610,434,724/338,941
  6. Step 6: Final answer
    x = 1,541,892.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.