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Finding the Third Proportional to 165,009 and 257,369

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Solution

The third proportional to 165,009 and 257,369 is: 401,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,009 : 257,369 = 257,369 : x
  2. Step 2: Convert to fraction form
    165,009/257,369 = 257,369/x
  3. Step 3: Cross multiply
    165,009x = 257,369 × 257,369
  4. Step 4: Simplify right side
    165,009x = 66,238,802,161
  5. Step 5: Solve for x
    x = 66,238,802,161/165,009
  6. Step 6: Final answer
    x = 401,425.39

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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.