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Finding the Third Proportional to 338,942 and 722,920

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Solution

The third proportional to 338,942 and 722,920 is: 1,541,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,942 : 722,920 = 722,920 : x
  2. Step 2: Convert to fraction form
    338,942/722,920 = 722,920/x
  3. Step 3: Cross multiply
    338,942x = 722,920 × 722,920
  4. Step 4: Simplify right side
    338,942x = 522,613,326,400
  5. Step 5: Solve for x
    x = 522,613,326,400/338,942
  6. Step 6: Final answer
    x = 1,541,896.04

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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.