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Finding the Third Proportional to 257,192 and 393,200

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Solution

The third proportional to 257,192 and 393,200 is: 601,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,192 : 393,200 = 393,200 : x
  2. Step 2: Convert to fraction form
    257,192/393,200 = 393,200/x
  3. Step 3: Cross multiply
    257,192x = 393,200 × 393,200
  4. Step 4: Simplify right side
    257,192x = 154,606,240,000
  5. Step 5: Solve for x
    x = 154,606,240,000/257,192
  6. Step 6: Final answer
    x = 601,131.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.