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Finding the Third Proportional to 273,158 and 557,150

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Solution

The third proportional to 273,158 and 557,150 is: 1,136,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,158 : 557,150 = 557,150 : x
  2. Step 2: Convert to fraction form
    273,158/557,150 = 557,150/x
  3. Step 3: Cross multiply
    273,158x = 557,150 × 557,150
  4. Step 4: Simplify right side
    273,158x = 310,416,122,500
  5. Step 5: Solve for x
    x = 310,416,122,500/273,158
  6. Step 6: Final answer
    x = 1,136,397.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.