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Finding the Third Proportional to 257,286 and 395,913

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Solution

The third proportional to 257,286 and 395,913 is: 609,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,286 : 395,913 = 395,913 : x
  2. Step 2: Convert to fraction form
    257,286/395,913 = 395,913/x
  3. Step 3: Cross multiply
    257,286x = 395,913 × 395,913
  4. Step 4: Simplify right side
    257,286x = 156,747,103,569
  5. Step 5: Solve for x
    x = 156,747,103,569/257,286
  6. Step 6: Final answer
    x = 609,232.93

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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.