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Finding the Third Proportional to 451,631 and 699,072

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Solution

The third proportional to 451,631 and 699,072 is: 1,082,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,631 : 699,072 = 699,072 : x
  2. Step 2: Convert to fraction form
    451,631/699,072 = 699,072/x
  3. Step 3: Cross multiply
    451,631x = 699,072 × 699,072
  4. Step 4: Simplify right side
    451,631x = 488,701,661,184
  5. Step 5: Solve for x
    x = 488,701,661,184/451,631
  6. Step 6: Final answer
    x = 1,082,081.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.