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Finding the Third Proportional to 451,629 and 699,069

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Solution

The third proportional to 451,629 and 699,069 is: 1,082,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,629 : 699,069 = 699,069 : x
  2. Step 2: Convert to fraction form
    451,629/699,069 = 699,069/x
  3. Step 3: Cross multiply
    451,629x = 699,069 × 699,069
  4. Step 4: Simplify right side
    451,629x = 488,697,466,761
  5. Step 5: Solve for x
    x = 488,697,466,761/451,629
  6. Step 6: Final answer
    x = 1,082,077.25

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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.