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Finding the Third Proportional to 165,986 and 257,443

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Solution

The third proportional to 165,986 and 257,443 is: 399,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,986 : 257,443 = 257,443 : x
  2. Step 2: Convert to fraction form
    165,986/257,443 = 257,443/x
  3. Step 3: Cross multiply
    165,986x = 257,443 × 257,443
  4. Step 4: Simplify right side
    165,986x = 66,276,898,249
  5. Step 5: Solve for x
    x = 66,276,898,249/165,986
  6. Step 6: Final answer
    x = 399,292.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.