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Finding the Third Proportional to 257,192 and 557,152

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Solution

The third proportional to 257,192 and 557,152 is: 1,206,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,192 : 557,152 = 557,152 : x
  2. Step 2: Convert to fraction form
    257,192/557,152 = 557,152/x
  3. Step 3: Cross multiply
    257,192x = 557,152 × 557,152
  4. Step 4: Simplify right side
    257,192x = 310,418,351,104
  5. Step 5: Solve for x
    x = 310,418,351,104/257,192
  6. Step 6: Final answer
    x = 1,206,951.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.