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Finding the Third Proportional to 165,508 and 354,343

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Solution

The third proportional to 165,508 and 354,343 is: 758,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,508 : 354,343 = 354,343 : x
  2. Step 2: Convert to fraction form
    165,508/354,343 = 354,343/x
  3. Step 3: Cross multiply
    165,508x = 354,343 × 354,343
  4. Step 4: Simplify right side
    165,508x = 125,558,961,649
  5. Step 5: Solve for x
    x = 125,558,961,649/165,508
  6. Step 6: Final answer
    x = 758,627.75

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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.