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Finding the Third Proportional to 165,013 and 257,375

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Solution

The third proportional to 165,013 and 257,375 is: 401,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013 : 257,375 = 257,375 : x
  2. Step 2: Convert to fraction form
    165,013/257,375 = 257,375/x
  3. Step 3: Cross multiply
    165,013x = 257,375 × 257,375
  4. Step 4: Simplify right side
    165,013x = 66,241,890,625
  5. Step 5: Solve for x
    x = 66,241,890,625/165,013
  6. Step 6: Final answer
    x = 401,434.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.