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Finding the Third Proportional to 274,630 and 415,818

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Solution

The third proportional to 274,630 and 415,818 is: 629,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,630 : 415,818 = 415,818 : x
  2. Step 2: Convert to fraction form
    274,630/415,818 = 415,818/x
  3. Step 3: Cross multiply
    274,630x = 415,818 × 415,818
  4. Step 4: Simplify right side
    274,630x = 172,904,609,124
  5. Step 5: Solve for x
    x = 172,904,609,124/274,630
  6. Step 6: Final answer
    x = 629,591.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.