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Finding the Third Proportional to 338,640.75 and 461,244.38

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Solution

The third proportional to 338,640.75 and 461,244.38 is: 628,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,640.75 : 461,244.38 = 461,244.38 : x
  2. Step 2: Convert to fraction form
    338,640.75/461,244.38 = 461,244.38/x
  3. Step 3: Cross multiply
    338,640.75x = 461,244.38 × 461,244.38
  4. Step 4: Simplify right side
    338,640.75x = 212,746,373,469.14
  5. Step 5: Solve for x
    x = 212,746,373,469.14/338,640.75
  6. Step 6: Final answer
    x = 628,236.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.