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Finding the Third Proportional to 257,042 and 395,355

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Solution

The third proportional to 257,042 and 395,355 is: 608,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,042 : 395,355 = 395,355 : x
  2. Step 2: Convert to fraction form
    257,042/395,355 = 395,355/x
  3. Step 3: Cross multiply
    257,042x = 395,355 × 395,355
  4. Step 4: Simplify right side
    257,042x = 156,305,576,025
  5. Step 5: Solve for x
    x = 156,305,576,025/257,042
  6. Step 6: Final answer
    x = 608,093.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.