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Finding the Third Proportional to 165,288 and 339,288

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Solution

The third proportional to 165,288 and 339,288 is: 696,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,288 : 339,288 = 339,288 : x
  2. Step 2: Convert to fraction form
    165,288/339,288 = 339,288/x
  3. Step 3: Cross multiply
    165,288x = 339,288 × 339,288
  4. Step 4: Simplify right side
    165,288x = 115,116,346,944
  5. Step 5: Solve for x
    x = 115,116,346,944/165,288
  6. Step 6: Final answer
    x = 696,459.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.