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Finding the Third Proportional to 257,288 and 395,916

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Solution

The third proportional to 257,288 and 395,916 is: 609,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,288 : 395,916 = 395,916 : x
  2. Step 2: Convert to fraction form
    257,288/395,916 = 395,916/x
  3. Step 3: Cross multiply
    257,288x = 395,916 × 395,916
  4. Step 4: Simplify right side
    257,288x = 156,749,479,056
  5. Step 5: Solve for x
    x = 156,749,479,056/257,288
  6. Step 6: Final answer
    x = 609,237.43

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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.