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Finding the Third Proportional to 682.78 and 1,029.84

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Solution

The third proportional to 682.78 and 1,029.84 is: 1,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.78 : 1,029.84 = 1,029.84 : x
  2. Step 2: Convert to fraction form
    682.78/1,029.84 = 1,029.84/x
  3. Step 3: Cross multiply
    682.78x = 1,029.84 × 1,029.84
  4. Step 4: Simplify right side
    682.78x = 1,060,578.15
  5. Step 5: Solve for x
    x = 1,060,578.15/682.78
  6. Step 6: Final answer
    x = 1,553.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.