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Finding the Third Proportional to 258,165 and 557,118

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Solution

The third proportional to 258,165 and 557,118 is: 1,202,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,165 : 557,118 = 557,118 : x
  2. Step 2: Convert to fraction form
    258,165/557,118 = 557,118/x
  3. Step 3: Cross multiply
    258,165x = 557,118 × 557,118
  4. Step 4: Simplify right side
    258,165x = 310,380,465,924
  5. Step 5: Solve for x
    x = 310,380,465,924/258,165
  6. Step 6: Final answer
    x = 1,202,256.18

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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.