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Finding the Third Proportional to 451,640 and 699,085

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Solution

The third proportional to 451,640 and 699,085 is: 1,082,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,640 : 699,085 = 699,085 : x
  2. Step 2: Convert to fraction form
    451,640/699,085 = 699,085/x
  3. Step 3: Cross multiply
    451,640x = 699,085 × 699,085
  4. Step 4: Simplify right side
    451,640x = 488,719,837,225
  5. Step 5: Solve for x
    x = 488,719,837,225/451,640
  6. Step 6: Final answer
    x = 1,082,100.43

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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.