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Finding the Third Proportional to 165,290 and 339,292

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Solution

The third proportional to 165,290 and 339,292 is: 696,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,290 : 339,292 = 339,292 : x
  2. Step 2: Convert to fraction form
    165,290/339,292 = 339,292/x
  3. Step 3: Cross multiply
    165,290x = 339,292 × 339,292
  4. Step 4: Simplify right side
    165,290x = 115,119,061,264
  5. Step 5: Solve for x
    x = 115,119,061,264/165,290
  6. Step 6: Final answer
    x = 696,467.19

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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.