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Finding the Third Proportional to 257,056 and 395,592

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Solution

The third proportional to 257,056 and 395,592 is: 608,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,056 : 395,592 = 395,592 : x
  2. Step 2: Convert to fraction form
    257,056/395,592 = 395,592/x
  3. Step 3: Cross multiply
    257,056x = 395,592 × 395,592
  4. Step 4: Simplify right side
    257,056x = 156,493,030,464
  5. Step 5: Solve for x
    x = 156,493,030,464/257,056
  6. Step 6: Final answer
    x = 608,789.64

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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.