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Finding the Third Proportional to 338,940 and 722,916

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Solution

The third proportional to 338,940 and 722,916 is: 1,541,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,940 : 722,916 = 722,916 : x
  2. Step 2: Convert to fraction form
    338,940/722,916 = 722,916/x
  3. Step 3: Cross multiply
    338,940x = 722,916 × 722,916
  4. Step 4: Simplify right side
    338,940x = 522,607,543,056
  5. Step 5: Solve for x
    x = 522,607,543,056/338,940
  6. Step 6: Final answer
    x = 1,541,888.07

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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.