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Finding the Third Proportional to 635.34 and 858.41

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Solution

The third proportional to 635.34 and 858.41 is: 1,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 858.41 = 858.41 : x
  2. Step 2: Convert to fraction form
    635.34/858.41 = 858.41/x
  3. Step 3: Cross multiply
    635.34x = 858.41 × 858.41
  4. Step 4: Simplify right side
    635.34x = 736,868.00
  5. Step 5: Solve for x
    x = 736,868.00/635.34
  6. Step 6: Final answer
    x = 1,159.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.