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Finding the Third Proportional to 443,646 and 681,930

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Solution

The third proportional to 443,646 and 681,930 is: 1,048,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,646 : 681,930 = 681,930 : x
  2. Step 2: Convert to fraction form
    443,646/681,930 = 681,930/x
  3. Step 3: Cross multiply
    443,646x = 681,930 × 681,930
  4. Step 4: Simplify right side
    443,646x = 465,028,524,900
  5. Step 5: Solve for x
    x = 465,028,524,900/443,646
  6. Step 6: Final answer
    x = 1,048,197.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.