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Finding the Third Proportional to 258,167 and 557,122

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Solution

The third proportional to 258,167 and 557,122 is: 1,202,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,167 : 557,122 = 557,122 : x
  2. Step 2: Convert to fraction form
    258,167/557,122 = 557,122/x
  3. Step 3: Cross multiply
    258,167x = 557,122 × 557,122
  4. Step 4: Simplify right side
    258,167x = 310,384,922,884
  5. Step 5: Solve for x
    x = 310,384,922,884/258,167
  6. Step 6: Final answer
    x = 1,202,264.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.