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Finding the Third Proportional to 117,455 and 258,238

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Solution

The third proportional to 117,455 and 258,238 is: 567,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,455 : 258,238 = 258,238 : x
  2. Step 2: Convert to fraction form
    117,455/258,238 = 258,238/x
  3. Step 3: Cross multiply
    117,455x = 258,238 × 258,238
  4. Step 4: Simplify right side
    117,455x = 66,686,864,644
  5. Step 5: Solve for x
    x = 66,686,864,644/117,455
  6. Step 6: Final answer
    x = 567,765.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.