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Finding the Third Proportional to 403,986 and 851,712

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Solution

The third proportional to 403,986 and 851,712 is: 1,795,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,986 : 851,712 = 851,712 : x
  2. Step 2: Convert to fraction form
    403,986/851,712 = 851,712/x
  3. Step 3: Cross multiply
    403,986x = 851,712 × 851,712
  4. Step 4: Simplify right side
    403,986x = 725,413,330,944
  5. Step 5: Solve for x
    x = 725,413,330,944/403,986
  6. Step 6: Final answer
    x = 1,795,639.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.