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Finding the Third Proportional to 443,873 and 628,071

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Solution

The third proportional to 443,873 and 628,071 is: 888,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,873 : 628,071 = 628,071 : x
  2. Step 2: Convert to fraction form
    443,873/628,071 = 628,071/x
  3. Step 3: Cross multiply
    443,873x = 628,071 × 628,071
  4. Step 4: Simplify right side
    443,873x = 394,473,181,041
  5. Step 5: Solve for x
    x = 394,473,181,041/443,873
  6. Step 6: Final answer
    x = 888,707.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.