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Finding the Third Proportional to 635.92 and 1,021.15

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Solution

The third proportional to 635.92 and 1,021.15 is: 1,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.92 : 1,021.15 = 1,021.15 : x
  2. Step 2: Convert to fraction form
    635.92/1,021.15 = 1,021.15/x
  3. Step 3: Cross multiply
    635.92x = 1,021.15 × 1,021.15
  4. Step 4: Simplify right side
    635.92x = 1,042,750.86
  5. Step 5: Solve for x
    x = 1,042,750.86/635.92
  6. Step 6: Final answer
    x = 1,639.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.