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Finding the Third Proportional to 433.90 and 635.66

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Solution

The third proportional to 433.90 and 635.66 is: 931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.90 : 635.66 = 635.66 : x
  2. Step 2: Convert to fraction form
    433.90/635.66 = 635.66/x
  3. Step 3: Cross multiply
    433.90x = 635.66 × 635.66
  4. Step 4: Simplify right side
    433.90x = 404,063.83
  5. Step 5: Solve for x
    x = 404,063.83/433.90
  6. Step 6: Final answer
    x = 931.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.