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Finding the Third Proportional to 635.19 and 843.06

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Solution

The third proportional to 635.19 and 843.06 is: 1,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.19 : 843.06 = 843.06 : x
  2. Step 2: Convert to fraction form
    635.19/843.06 = 843.06/x
  3. Step 3: Cross multiply
    635.19x = 843.06 × 843.06
  4. Step 4: Simplify right side
    635.19x = 710,754.38
  5. Step 5: Solve for x
    x = 710,754.38/635.19
  6. Step 6: Final answer
    x = 1,118.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.