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Finding the Third Proportional to 257,895 and 356,339.25

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Solution

The third proportional to 257,895 and 356,339.25 is: 492,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,895 : 356,339.25 = 356,339.25 : x
  2. Step 2: Convert to fraction form
    257,895/356,339.25 = 356,339.25/x
  3. Step 3: Cross multiply
    257,895x = 356,339.25 × 356,339.25
  4. Step 4: Simplify right side
    257,895x = 126,977,661,090.56
  5. Step 5: Solve for x
    x = 126,977,661,090.56/257,895
  6. Step 6: Final answer
    x = 492,361.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.