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Finding the Third Proportional to 277,630 and 419,861

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Solution

The third proportional to 277,630 and 419,861 is: 634,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,630 : 419,861 = 419,861 : x
  2. Step 2: Convert to fraction form
    277,630/419,861 = 419,861/x
  3. Step 3: Cross multiply
    277,630x = 419,861 × 419,861
  4. Step 4: Simplify right side
    277,630x = 176,283,259,321
  5. Step 5: Solve for x
    x = 176,283,259,321/277,630
  6. Step 6: Final answer
    x = 634,957.53

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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.