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Finding the Third Proportional to 290.46 and 635.38

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Solution

The third proportional to 290.46 and 635.38 is: 1,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 635.38 = 635.38 : x
  2. Step 2: Convert to fraction form
    290.46/635.38 = 635.38/x
  3. Step 3: Cross multiply
    290.46x = 635.38 × 635.38
  4. Step 4: Simplify right side
    290.46x = 403,711.94
  5. Step 5: Solve for x
    x = 403,711.94/290.46
  6. Step 6: Final answer
    x = 1,389.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.