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Finding the Third Proportional to 300,672 and 699,138

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Solution

The third proportional to 300,672 and 699,138 is: 1,625,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,672 : 699,138 = 699,138 : x
  2. Step 2: Convert to fraction form
    300,672/699,138 = 699,138/x
  3. Step 3: Cross multiply
    300,672x = 699,138 × 699,138
  4. Step 4: Simplify right side
    300,672x = 488,793,943,044
  5. Step 5: Solve for x
    x = 488,793,943,044/300,672
  6. Step 6: Final answer
    x = 1,625,671.64

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.