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Finding the Third Proportional to 165,509 and 354,345

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Solution

The third proportional to 165,509 and 354,345 is: 758,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,509 : 354,345 = 354,345 : x
  2. Step 2: Convert to fraction form
    165,509/354,345 = 354,345/x
  3. Step 3: Cross multiply
    165,509x = 354,345 × 354,345
  4. Step 4: Simplify right side
    165,509x = 125,560,379,025
  5. Step 5: Solve for x
    x = 125,560,379,025/165,509
  6. Step 6: Final answer
    x = 758,631.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.