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Finding the Third Proportional to 639.77 and 822.97

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Solution

The third proportional to 639.77 and 822.97 is: 1,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.77 : 822.97 = 822.97 : x
  2. Step 2: Convert to fraction form
    639.77/822.97 = 822.97/x
  3. Step 3: Cross multiply
    639.77x = 822.97 × 822.97
  4. Step 4: Simplify right side
    639.77x = 677,283.99
  5. Step 5: Solve for x
    x = 677,283.99/639.77
  6. Step 6: Final answer
    x = 1,058.63

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.