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Finding the Third Proportional to 639 and 833

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Solution

The third proportional to 639 and 833 is: 1,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    639 : 833 = 833 : x
  2. Step 2: Convert to fraction form
    639/833 = 833/x
  3. Step 3: Cross multiply
    639x = 833 × 833
  4. Step 4: Simplify right side
    639x = 693,889
  5. Step 5: Solve for x
    x = 693,889/639
  6. Step 6: Final answer
    x = 1,085.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.