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Finding the Third Proportional to 338,916 and 722,868

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Solution

The third proportional to 338,916 and 722,868 is: 1,541,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,916 : 722,868 = 722,868 : x
  2. Step 2: Convert to fraction form
    338,916/722,868 = 722,868/x
  3. Step 3: Cross multiply
    338,916x = 722,868 × 722,868
  4. Step 4: Simplify right side
    338,916x = 522,538,145,424
  5. Step 5: Solve for x
    x = 522,538,145,424/338,916
  6. Step 6: Final answer
    x = 1,541,792.50

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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.