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Finding the Third Proportional to 172,918 and 354,374

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Solution

The third proportional to 172,918 and 354,374 is: 726,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,918 : 354,374 = 354,374 : x
  2. Step 2: Convert to fraction form
    172,918/354,374 = 354,374/x
  3. Step 3: Cross multiply
    172,918x = 354,374 × 354,374
  4. Step 4: Simplify right side
    172,918x = 125,580,931,876
  5. Step 5: Solve for x
    x = 125,580,931,876/172,918
  6. Step 6: Final answer
    x = 726,245.57

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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.