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Finding the Third Proportional to 258,022 and 398,537.75

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Solution

The third proportional to 258,022 and 398,537.75 is: 615,576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,022 : 398,537.75 = 398,537.75 : x
  2. Step 2: Convert to fraction form
    258,022/398,537.75 = 398,537.75/x
  3. Step 3: Cross multiply
    258,022x = 398,537.75 × 398,537.75
  4. Step 4: Simplify right side
    258,022x = 158,832,338,175.06
  5. Step 5: Solve for x
    x = 158,832,338,175.06/258,022
  6. Step 6: Final answer
    x = 615,576.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.